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Finding the Third Proportional to 239,715 and 532,636

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Solution

The third proportional to 239,715 and 532,636 is: 1,183,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,715 : 532,636 = 532,636 : x
  2. Step 2: Convert to fraction form
    239,715/532,636 = 532,636/x
  3. Step 3: Cross multiply
    239,715x = 532,636 × 532,636
  4. Step 4: Simplify right side
    239,715x = 283,701,108,496
  5. Step 5: Solve for x
    x = 283,701,108,496/239,715
  6. Step 6: Final answer
    x = 1,183,493.35

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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.