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Finding the Third Proportional to 302,577 and 468,490.50

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Solution

The third proportional to 302,577 and 468,490.50 is: 725,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,577 : 468,490.50 = 468,490.50 : x
  2. Step 2: Convert to fraction form
    302,577/468,490.50 = 468,490.50/x
  3. Step 3: Cross multiply
    302,577x = 468,490.50 × 468,490.50
  4. Step 4: Simplify right side
    302,577x = 219,483,348,590.25
  5. Step 5: Solve for x
    x = 219,483,348,590.25/302,577
  6. Step 6: Final answer
    x = 725,380.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.