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Finding the Third Proportional to 354,766 and 521,754

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Solution

The third proportional to 354,766 and 521,754 is: 767,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,766 : 521,754 = 521,754 : x
  2. Step 2: Convert to fraction form
    354,766/521,754 = 521,754/x
  3. Step 3: Cross multiply
    354,766x = 521,754 × 521,754
  4. Step 4: Simplify right side
    354,766x = 272,227,236,516
  5. Step 5: Solve for x
    x = 272,227,236,516/354,766
  6. Step 6: Final answer
    x = 767,343.08

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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.