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Finding the Third Proportional to 367,954 and 539,814

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Solution

The third proportional to 367,954 and 539,814 is: 791,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,954 : 539,814 = 539,814 : x
  2. Step 2: Convert to fraction form
    367,954/539,814 = 539,814/x
  3. Step 3: Cross multiply
    367,954x = 539,814 × 539,814
  4. Step 4: Simplify right side
    367,954x = 291,399,154,596
  5. Step 5: Solve for x
    x = 291,399,154,596/367,954
  6. Step 6: Final answer
    x = 791,944.52

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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.