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Finding the Third Proportional to 250,411.50 and 375,617.25

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Solution

The third proportional to 250,411.50 and 375,617.25 is: 563,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,411.50 : 375,617.25 = 375,617.25 : x
  2. Step 2: Convert to fraction form
    250,411.50/375,617.25 = 375,617.25/x
  3. Step 3: Cross multiply
    250,411.50x = 375,617.25 × 375,617.25
  4. Step 4: Simplify right side
    250,411.50x = 141,088,318,497.56
  5. Step 5: Solve for x
    x = 141,088,318,497.56/250,411.50
  6. Step 6: Final answer
    x = 563,425.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.