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Finding the Third Proportional to 239,712.75 and 532,632

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Solution

The third proportional to 239,712.75 and 532,632 is: 1,183,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,712.75 : 532,632 = 532,632 : x
  2. Step 2: Convert to fraction form
    239,712.75/532,632 = 532,632/x
  3. Step 3: Cross multiply
    239,712.75x = 532,632 × 532,632
  4. Step 4: Simplify right side
    239,712.75x = 283,696,847,424
  5. Step 5: Solve for x
    x = 283,696,847,424/239,712.75
  6. Step 6: Final answer
    x = 1,183,486.68

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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.