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Finding the Third Proportional to 342,353.25 and 500,853.38

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Solution

The third proportional to 342,353.25 and 500,853.38 is: 732,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,353.25 : 500,853.38 = 500,853.38 : x
  2. Step 2: Convert to fraction form
    342,353.25/500,853.38 = 500,853.38/x
  3. Step 3: Cross multiply
    342,353.25x = 500,853.38 × 500,853.38
  4. Step 4: Simplify right side
    342,353.25x = 250,854,103,248.89
  5. Step 5: Solve for x
    x = 250,854,103,248.89/342,353.25
  6. Step 6: Final answer
    x = 732,734.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.