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Finding the Third Proportional to 547,067 and 865,565

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Solution

The third proportional to 547,067 and 865,565 is: 1,369,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,067 : 865,565 = 865,565 : x
  2. Step 2: Convert to fraction form
    547,067/865,565 = 865,565/x
  3. Step 3: Cross multiply
    547,067x = 865,565 × 865,565
  4. Step 4: Simplify right side
    547,067x = 749,202,769,225
  5. Step 5: Solve for x
    x = 749,202,769,225/547,067
  6. Step 6: Final answer
    x = 1,369,489.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.