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Finding the Third Proportional to 239,698 and 532,602

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Solution

The third proportional to 239,698 and 532,602 is: 1,183,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,698 : 532,602 = 532,602 : x
  2. Step 2: Convert to fraction form
    239,698/532,602 = 532,602/x
  3. Step 3: Cross multiply
    239,698x = 532,602 × 532,602
  4. Step 4: Simplify right side
    239,698x = 283,664,890,404
  5. Step 5: Solve for x
    x = 283,664,890,404/239,698
  6. Step 6: Final answer
    x = 1,183,426.19

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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.