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Finding the Third Proportional to 655,497 and 885,627

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Solution

The third proportional to 655,497 and 885,627 is: 1,196,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,497 : 885,627 = 885,627 : x
  2. Step 2: Convert to fraction form
    655,497/885,627 = 885,627/x
  3. Step 3: Cross multiply
    655,497x = 885,627 × 885,627
  4. Step 4: Simplify right side
    655,497x = 784,335,183,129
  5. Step 5: Solve for x
    x = 784,335,183,129/655,497
  6. Step 6: Final answer
    x = 1,196,550.38

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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.