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Finding the Third Proportional to 539,630 and 791,948

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Solution

The third proportional to 539,630 and 791,948 is: 1,162,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,630 : 791,948 = 791,948 : x
  2. Step 2: Convert to fraction form
    539,630/791,948 = 791,948/x
  3. Step 3: Cross multiply
    539,630x = 791,948 × 791,948
  4. Step 4: Simplify right side
    539,630x = 627,181,634,704
  5. Step 5: Solve for x
    x = 627,181,634,704/539,630
  6. Step 6: Final answer
    x = 1,162,243.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.