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Finding the Third Proportional to 239,701 and 532,609

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Solution

The third proportional to 239,701 and 532,609 is: 1,183,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,701 : 532,609 = 532,609 : x
  2. Step 2: Convert to fraction form
    239,701/532,609 = 532,609/x
  3. Step 3: Cross multiply
    239,701x = 532,609 × 532,609
  4. Step 4: Simplify right side
    239,701x = 283,672,346,881
  5. Step 5: Solve for x
    x = 283,672,346,881/239,701
  6. Step 6: Final answer
    x = 1,183,442.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.