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Finding the Third Proportional to 522,711 and 736,110

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Solution

The third proportional to 522,711 and 736,110 is: 1,036,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,711 : 736,110 = 736,110 : x
  2. Step 2: Convert to fraction form
    522,711/736,110 = 736,110/x
  3. Step 3: Cross multiply
    522,711x = 736,110 × 736,110
  4. Step 4: Simplify right side
    522,711x = 541,857,932,100
  5. Step 5: Solve for x
    x = 541,857,932,100/522,711
  6. Step 6: Final answer
    x = 1,036,630.05

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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.