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Finding the Third Proportional to 302,087,323.13 and 650,657,280.94

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Solution

The third proportional to 302,087,323.13 and 650,657,280.94 is: 1,401,432,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,087,323.13 : 650,657,280.94 = 650,657,280.94 : x
  2. Step 2: Convert to fraction form
    302,087,323.13/650,657,280.94 = 650,657,280.94/x
  3. Step 3: Cross multiply
    302,087,323.13x = 650,657,280.94 × 650,657,280.94
  4. Step 4: Simplify right side
    302,087,323.13x = 423,354,897,236,980,800
  5. Step 5: Solve for x
    x = 423,354,897,236,980,800/302,087,323.13
  6. Step 6: Final answer
    x = 1,401,432,184.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.