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Finding the Third Proportional to 700,591.78 and 898,344.42

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Solution

The third proportional to 700,591.78 and 898,344.42 is: 1,151,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,591.78 : 898,344.42 = 898,344.42 : x
  2. Step 2: Convert to fraction form
    700,591.78/898,344.42 = 898,344.42/x
  3. Step 3: Cross multiply
    700,591.78x = 898,344.42 × 898,344.42
  4. Step 4: Simplify right side
    700,591.78x = 807,022,700,313.93
  5. Step 5: Solve for x
    x = 807,022,700,313.93/700,591.78
  6. Step 6: Final answer
    x = 1,151,915.74

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.