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Finding the Third Proportional to 341,781.75 and 747,927

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Solution

The third proportional to 341,781.75 and 747,927 is: 1,636,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,781.75 : 747,927 = 747,927 : x
  2. Step 2: Convert to fraction form
    341,781.75/747,927 = 747,927/x
  3. Step 3: Cross multiply
    341,781.75x = 747,927 × 747,927
  4. Step 4: Simplify right side
    341,781.75x = 559,394,797,329
  5. Step 5: Solve for x
    x = 559,394,797,329/341,781.75
  6. Step 6: Final answer
    x = 1,636,701.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.