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Finding the Third Proportional to 304,787.25 and 474,631.88

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Solution

The third proportional to 304,787.25 and 474,631.88 is: 739,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,787.25 : 474,631.88 = 474,631.88 : x
  2. Step 2: Convert to fraction form
    304,787.25/474,631.88 = 474,631.88/x
  3. Step 3: Cross multiply
    304,787.25x = 474,631.88 × 474,631.88
  4. Step 4: Simplify right side
    304,787.25x = 225,275,416,766.02
  5. Step 5: Solve for x
    x = 225,275,416,766.02/304,787.25
  6. Step 6: Final answer
    x = 739,123.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.