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Finding the Third Proportional to 531,448 and 807,013

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Solution

The third proportional to 531,448 and 807,013 is: 1,225,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,448 : 807,013 = 807,013 : x
  2. Step 2: Convert to fraction form
    531,448/807,013 = 807,013/x
  3. Step 3: Cross multiply
    531,448x = 807,013 × 807,013
  4. Step 4: Simplify right side
    531,448x = 651,269,982,169
  5. Step 5: Solve for x
    x = 651,269,982,169/531,448
  6. Step 6: Final answer
    x = 1,225,463.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.