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Finding the Third Proportional to 388,761 and 580,143

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Solution

The third proportional to 388,761 and 580,143 is: 865,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,761 : 580,143 = 580,143 : x
  2. Step 2: Convert to fraction form
    388,761/580,143 = 580,143/x
  3. Step 3: Cross multiply
    388,761x = 580,143 × 580,143
  4. Step 4: Simplify right side
    388,761x = 336,565,900,449
  5. Step 5: Solve for x
    x = 336,565,900,449/388,761
  6. Step 6: Final answer
    x = 865,739.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.