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Finding the Third Proportional to 655,715 and 885,864

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Solution

The third proportional to 655,715 and 885,864 is: 1,196,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,715 : 885,864 = 885,864 : x
  2. Step 2: Convert to fraction form
    655,715/885,864 = 885,864/x
  3. Step 3: Cross multiply
    655,715x = 885,864 × 885,864
  4. Step 4: Simplify right side
    655,715x = 784,755,026,496
  5. Step 5: Solve for x
    x = 784,755,026,496/655,715
  6. Step 6: Final answer
    x = 1,196,792.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.