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Finding the Third Proportional to 367,416 and 539,437.22

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Solution

The third proportional to 367,416 and 539,437.22 is: 791,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,416 : 539,437.22 = 539,437.22 : x
  2. Step 2: Convert to fraction form
    367,416/539,437.22 = 539,437.22/x
  3. Step 3: Cross multiply
    367,416x = 539,437.22 × 539,437.22
  4. Step 4: Simplify right side
    367,416x = 290,992,512,972.74
  5. Step 5: Solve for x
    x = 290,992,512,972.74/367,416
  6. Step 6: Final answer
    x = 791,997.39

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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.