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Finding the Third Proportional to 522,464 and 781,670

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Solution

The third proportional to 522,464 and 781,670 is: 1,169,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,464 : 781,670 = 781,670 : x
  2. Step 2: Convert to fraction form
    522,464/781,670 = 781,670/x
  3. Step 3: Cross multiply
    522,464x = 781,670 × 781,670
  4. Step 4: Simplify right side
    522,464x = 611,007,988,900
  5. Step 5: Solve for x
    x = 611,007,988,900/522,464
  6. Step 6: Final answer
    x = 1,169,473.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.