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Finding the Third Proportional to 522,571 and 763,689

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Solution

The third proportional to 522,571 and 763,689 is: 1,116,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,571 : 763,689 = 763,689 : x
  2. Step 2: Convert to fraction form
    522,571/763,689 = 763,689/x
  3. Step 3: Cross multiply
    522,571x = 763,689 × 763,689
  4. Step 4: Simplify right side
    522,571x = 583,220,888,721
  5. Step 5: Solve for x
    x = 583,220,888,721/522,571
  6. Step 6: Final answer
    x = 1,116,060.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.