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Finding the Third Proportional to 367,949 and 539,806

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Solution

The third proportional to 367,949 and 539,806 is: 791,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,949 : 539,806 = 539,806 : x
  2. Step 2: Convert to fraction form
    367,949/539,806 = 539,806/x
  3. Step 3: Cross multiply
    367,949x = 539,806 × 539,806
  4. Step 4: Simplify right side
    367,949x = 291,390,517,636
  5. Step 5: Solve for x
    x = 291,390,517,636/367,949
  6. Step 6: Final answer
    x = 791,931.81

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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.