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Finding the Third Proportional to 217,444 and 474,760

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Solution

The third proportional to 217,444 and 474,760 is: 1,036,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,444 : 474,760 = 474,760 : x
  2. Step 2: Convert to fraction form
    217,444/474,760 = 474,760/x
  3. Step 3: Cross multiply
    217,444x = 474,760 × 474,760
  4. Step 4: Simplify right side
    217,444x = 225,397,057,600
  5. Step 5: Solve for x
    x = 225,397,057,600/217,444
  6. Step 6: Final answer
    x = 1,036,575.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.