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Finding the Third Proportional to 304,217.44 and 472,921.03

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Solution

The third proportional to 304,217.44 and 472,921.03 is: 735,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,217.44 : 472,921.03 = 472,921.03 : x
  2. Step 2: Convert to fraction form
    304,217.44/472,921.03 = 472,921.03/x
  3. Step 3: Cross multiply
    304,217.44x = 472,921.03 × 472,921.03
  4. Step 4: Simplify right side
    304,217.44x = 223,654,301,798.56
  5. Step 5: Solve for x
    x = 223,654,301,798.56/304,217.44
  6. Step 6: Final answer
    x = 735,179.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.