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Finding the Third Proportional to 541,935 and 762,489

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Solution

The third proportional to 541,935 and 762,489 is: 1,072,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,935 : 762,489 = 762,489 : x
  2. Step 2: Convert to fraction form
    541,935/762,489 = 762,489/x
  3. Step 3: Cross multiply
    541,935x = 762,489 × 762,489
  4. Step 4: Simplify right side
    541,935x = 581,389,475,121
  5. Step 5: Solve for x
    x = 581,389,475,121/541,935
  6. Step 6: Final answer
    x = 1,072,802.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.