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Finding the Third Proportional to 342,286 and 532,767

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Solution

The third proportional to 342,286 and 532,767 is: 829,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,286 : 532,767 = 532,767 : x
  2. Step 2: Convert to fraction form
    342,286/532,767 = 532,767/x
  3. Step 3: Cross multiply
    342,286x = 532,767 × 532,767
  4. Step 4: Simplify right side
    342,286x = 283,840,676,289
  5. Step 5: Solve for x
    x = 283,840,676,289/342,286
  6. Step 6: Final answer
    x = 829,250.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.