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Finding the Third Proportional to 432,082 and 633,531

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Solution

The third proportional to 432,082 and 633,531 is: 928,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,082 : 633,531 = 633,531 : x
  2. Step 2: Convert to fraction form
    432,082/633,531 = 633,531/x
  3. Step 3: Cross multiply
    432,082x = 633,531 × 633,531
  4. Step 4: Simplify right side
    432,082x = 401,361,527,961
  5. Step 5: Solve for x
    x = 401,361,527,961/432,082
  6. Step 6: Final answer
    x = 928,901.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.