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Finding the Third Proportional to 435,351 and 659,597

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Solution

The third proportional to 435,351 and 659,597 is: 999,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,351 : 659,597 = 659,597 : x
  2. Step 2: Convert to fraction form
    435,351/659,597 = 659,597/x
  3. Step 3: Cross multiply
    435,351x = 659,597 × 659,597
  4. Step 4: Simplify right side
    435,351x = 435,068,202,409
  5. Step 5: Solve for x
    x = 435,068,202,409/435,351
  6. Step 6: Final answer
    x = 999,350.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.