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Finding the Third Proportional to 435,892 and 656,350

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Solution

The third proportional to 435,892 and 656,350 is: 988,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,892 : 656,350 = 656,350 : x
  2. Step 2: Convert to fraction form
    435,892/656,350 = 656,350/x
  3. Step 3: Cross multiply
    435,892x = 656,350 × 656,350
  4. Step 4: Simplify right side
    435,892x = 430,795,322,500
  5. Step 5: Solve for x
    x = 430,795,322,500/435,892
  6. Step 6: Final answer
    x = 988,307.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.