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Finding the Third Proportional to 595,233.56 and 898,217.44

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Solution

The third proportional to 595,233.56 and 898,217.44 is: 1,355,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,233.56 : 898,217.44 = 898,217.44 : x
  2. Step 2: Convert to fraction form
    595,233.56/898,217.44 = 898,217.44/x
  3. Step 3: Cross multiply
    595,233.56x = 898,217.44 × 898,217.44
  4. Step 4: Simplify right side
    595,233.56x = 806,794,565,029.07
  5. Step 5: Solve for x
    x = 806,794,565,029.07/595,233.56
  6. Step 6: Final answer
    x = 1,355,425.19

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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.