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Finding the Third Proportional to 389,142 and 591,687

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Solution

The third proportional to 389,142 and 591,687 is: 899,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,142 : 591,687 = 591,687 : x
  2. Step 2: Convert to fraction form
    389,142/591,687 = 591,687/x
  3. Step 3: Cross multiply
    389,142x = 591,687 × 591,687
  4. Step 4: Simplify right side
    389,142x = 350,093,505,969
  5. Step 5: Solve for x
    x = 350,093,505,969/389,142
  6. Step 6: Final answer
    x = 899,654.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.