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Finding the Third Proportional to 522,510 and 781,737

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Solution

The third proportional to 522,510 and 781,737 is: 1,169,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,510 : 781,737 = 781,737 : x
  2. Step 2: Convert to fraction form
    522,510/781,737 = 781,737/x
  3. Step 3: Cross multiply
    522,510x = 781,737 × 781,737
  4. Step 4: Simplify right side
    522,510x = 611,112,737,169
  5. Step 5: Solve for x
    x = 611,112,737,169/522,510
  6. Step 6: Final answer
    x = 1,169,571.37

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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.