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Finding the Third Proportional to 304,823.25 and 474,680.25

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Solution

The third proportional to 304,823.25 and 474,680.25 is: 739,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,823.25 : 474,680.25 = 474,680.25 : x
  2. Step 2: Convert to fraction form
    304,823.25/474,680.25 = 474,680.25/x
  3. Step 3: Cross multiply
    304,823.25x = 474,680.25 × 474,680.25
  4. Step 4: Simplify right side
    304,823.25x = 225,321,339,740.06
  5. Step 5: Solve for x
    x = 225,321,339,740.06/304,823.25
  6. Step 6: Final answer
    x = 739,186.86

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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.