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Finding the Third Proportional to 342,424 and 532,286

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Solution

The third proportional to 342,424 and 532,286 is: 827,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,424 : 532,286 = 532,286 : x
  2. Step 2: Convert to fraction form
    342,424/532,286 = 532,286/x
  3. Step 3: Cross multiply
    342,424x = 532,286 × 532,286
  4. Step 4: Simplify right side
    342,424x = 283,328,385,796
  5. Step 5: Solve for x
    x = 283,328,385,796/342,424
  6. Step 6: Final answer
    x = 827,419.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.