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Finding the Third Proportional to 342,677 and 502,320

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Solution

The third proportional to 342,677 and 502,320 is: 736,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,677 : 502,320 = 502,320 : x
  2. Step 2: Convert to fraction form
    342,677/502,320 = 502,320/x
  3. Step 3: Cross multiply
    342,677x = 502,320 × 502,320
  4. Step 4: Simplify right side
    342,677x = 252,325,382,400
  5. Step 5: Solve for x
    x = 252,325,382,400/342,677
  6. Step 6: Final answer
    x = 736,335.92

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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.