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Finding the Third Proportional to 531,932 and 817,581

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Solution

The third proportional to 531,932 and 817,581 is: 1,256,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,932 : 817,581 = 817,581 : x
  2. Step 2: Convert to fraction form
    531,932/817,581 = 817,581/x
  3. Step 3: Cross multiply
    531,932x = 817,581 × 817,581
  4. Step 4: Simplify right side
    531,932x = 668,438,691,561
  5. Step 5: Solve for x
    x = 668,438,691,561/531,932
  6. Step 6: Final answer
    x = 1,256,624.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.