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Finding the Third Proportional to 344,872 and 532,069

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Solution

The third proportional to 344,872 and 532,069 is: 820,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,872 : 532,069 = 532,069 : x
  2. Step 2: Convert to fraction form
    344,872/532,069 = 532,069/x
  3. Step 3: Cross multiply
    344,872x = 532,069 × 532,069
  4. Step 4: Simplify right side
    344,872x = 283,097,420,761
  5. Step 5: Solve for x
    x = 283,097,420,761/344,872
  6. Step 6: Final answer
    x = 820,876.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.