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Finding the Third Proportional to 217,904.63 and 472,001.63

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Solution

The third proportional to 217,904.63 and 472,001.63 is: 1,022,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,904.63 : 472,001.63 = 472,001.63 : x
  2. Step 2: Convert to fraction form
    217,904.63/472,001.63 = 472,001.63/x
  3. Step 3: Cross multiply
    217,904.63x = 472,001.63 × 472,001.63
  4. Step 4: Simplify right side
    217,904.63x = 222,785,534,002.64
  5. Step 5: Solve for x
    x = 222,785,534,002.64/217,904.63
  6. Step 6: Final answer
    x = 1,022,399.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.