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Finding the Third Proportional to 522,713 and 736,113

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Solution

The third proportional to 522,713 and 736,113 is: 1,036,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,713 : 736,113 = 736,113 : x
  2. Step 2: Convert to fraction form
    522,713/736,113 = 736,113/x
  3. Step 3: Cross multiply
    522,713x = 736,113 × 736,113
  4. Step 4: Simplify right side
    522,713x = 541,862,348,769
  5. Step 5: Solve for x
    x = 541,862,348,769/522,713
  6. Step 6: Final answer
    x = 1,036,634.54

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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.