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Finding the Third Proportional to 345,393 and 532,855

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Solution

The third proportional to 345,393 and 532,855 is: 822,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,393 : 532,855 = 532,855 : x
  2. Step 2: Convert to fraction form
    345,393/532,855 = 532,855/x
  3. Step 3: Cross multiply
    345,393x = 532,855 × 532,855
  4. Step 4: Simplify right side
    345,393x = 283,934,451,025
  5. Step 5: Solve for x
    x = 283,934,451,025/345,393
  6. Step 6: Final answer
    x = 822,061.97

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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.