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Finding the Third Proportional to 427,147 and 618,687

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Solution

The third proportional to 427,147 and 618,687 is: 896,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,147 : 618,687 = 618,687 : x
  2. Step 2: Convert to fraction form
    427,147/618,687 = 618,687/x
  3. Step 3: Cross multiply
    427,147x = 618,687 × 618,687
  4. Step 4: Simplify right side
    427,147x = 382,773,603,969
  5. Step 5: Solve for x
    x = 382,773,603,969/427,147
  6. Step 6: Final answer
    x = 896,116.80

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.