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Finding the Third Proportional to 231,528 and 475,344

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Solution

The third proportional to 231,528 and 475,344 is: 975,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,528 : 475,344 = 475,344 : x
  2. Step 2: Convert to fraction form
    231,528/475,344 = 475,344/x
  3. Step 3: Cross multiply
    231,528x = 475,344 × 475,344
  4. Step 4: Simplify right side
    231,528x = 225,951,918,336
  5. Step 5: Solve for x
    x = 225,951,918,336/231,528
  6. Step 6: Final answer
    x = 975,916.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.