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Finding the Third Proportional to 250,280.69 and 387,422.56

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Solution

The third proportional to 250,280.69 and 387,422.56 is: 599,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,280.69 : 387,422.56 = 387,422.56 : x
  2. Step 2: Convert to fraction form
    250,280.69/387,422.56 = 387,422.56/x
  3. Step 3: Cross multiply
    250,280.69x = 387,422.56 × 387,422.56
  4. Step 4: Simplify right side
    250,280.69x = 150,096,243,825.79
  5. Step 5: Solve for x
    x = 150,096,243,825.79/250,280.69
  6. Step 6: Final answer
    x = 599,711.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.