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Finding the Third Proportional to 435,496 and 653,244

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Solution

The third proportional to 435,496 and 653,244 is: 979,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,496 : 653,244 = 653,244 : x
  2. Step 2: Convert to fraction form
    435,496/653,244 = 653,244/x
  3. Step 3: Cross multiply
    435,496x = 653,244 × 653,244
  4. Step 4: Simplify right side
    435,496x = 426,727,723,536
  5. Step 5: Solve for x
    x = 426,727,723,536/435,496
  6. Step 6: Final answer
    x = 979,866

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.