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Finding the Third Proportional to 250,428 and 375,750

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Solution

The third proportional to 250,428 and 375,750 is: 563,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,428 : 375,750 = 375,750 : x
  2. Step 2: Convert to fraction form
    250,428/375,750 = 375,750/x
  3. Step 3: Cross multiply
    250,428x = 375,750 × 375,750
  4. Step 4: Simplify right side
    250,428x = 141,188,062,500
  5. Step 5: Solve for x
    x = 141,188,062,500/250,428
  6. Step 6: Final answer
    x = 563,787.05

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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.