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Finding the Third Proportional to 302,598 and 455,203.13

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Solution

The third proportional to 302,598 and 455,203.13 is: 684,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,598 : 455,203.13 = 455,203.13 : x
  2. Step 2: Convert to fraction form
    302,598/455,203.13 = 455,203.13/x
  3. Step 3: Cross multiply
    302,598x = 455,203.13 × 455,203.13
  4. Step 4: Simplify right side
    302,598x = 207,209,885,009.77
  5. Step 5: Solve for x
    x = 207,209,885,009.77/302,598
  6. Step 6: Final answer
    x = 684,769.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.