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Finding the Third Proportional to 655,496 and 1,002,288

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Solution

The third proportional to 655,496 and 1,002,288 is: 1,532,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,496 : 1,002,288 = 1,002,288 : x
  2. Step 2: Convert to fraction form
    655,496/1,002,288 = 1,002,288/x
  3. Step 3: Cross multiply
    655,496x = 1,002,288 × 1,002,288
  4. Step 4: Simplify right side
    655,496x = 1,004,581,234,944
  5. Step 5: Solve for x
    x = 1,004,581,234,944/655,496
  6. Step 6: Final answer
    x = 1,532,551.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.