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Finding the Third Proportional to 342,675 and 502,317

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Solution

The third proportional to 342,675 and 502,317 is: 736,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,675 : 502,317 = 502,317 : x
  2. Step 2: Convert to fraction form
    342,675/502,317 = 502,317/x
  3. Step 3: Cross multiply
    342,675x = 502,317 × 502,317
  4. Step 4: Simplify right side
    342,675x = 252,322,368,489
  5. Step 5: Solve for x
    x = 252,322,368,489/342,675
  6. Step 6: Final answer
    x = 736,331.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.