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Finding the Third Proportional to 239,709 and 532,623

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Solution

The third proportional to 239,709 and 532,623 is: 1,183,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,709 : 532,623 = 532,623 : x
  2. Step 2: Convert to fraction form
    239,709/532,623 = 532,623/x
  3. Step 3: Cross multiply
    239,709x = 532,623 × 532,623
  4. Step 4: Simplify right side
    239,709x = 283,687,260,129
  5. Step 5: Solve for x
    x = 283,687,260,129/239,709
  6. Step 6: Final answer
    x = 1,183,465.20

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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.