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Finding the Third Proportional to 296,244.50 and 481,248.75

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Solution

The third proportional to 296,244.50 and 481,248.75 is: 781,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,244.50 : 481,248.75 = 481,248.75 : x
  2. Step 2: Convert to fraction form
    296,244.50/481,248.75 = 481,248.75/x
  3. Step 3: Cross multiply
    296,244.50x = 481,248.75 × 481,248.75
  4. Step 4: Simplify right side
    296,244.50x = 231,600,359,376.56
  5. Step 5: Solve for x
    x = 231,600,359,376.56/296,244.50
  6. Step 6: Final answer
    x = 781,787.88

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.