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Finding the Third Proportional to 368,014 and 539,902

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Solution

The third proportional to 368,014 and 539,902 is: 792,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,014 : 539,902 = 539,902 : x
  2. Step 2: Convert to fraction form
    368,014/539,902 = 539,902/x
  3. Step 3: Cross multiply
    368,014x = 539,902 × 539,902
  4. Step 4: Simplify right side
    368,014x = 291,494,169,604
  5. Step 5: Solve for x
    x = 291,494,169,604/368,014
  6. Step 6: Final answer
    x = 792,073.59

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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.