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Finding the Third Proportional to 217,017.38 and 476,055.19

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Solution

The third proportional to 217,017.38 and 476,055.19 is: 1,044,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,017.38 : 476,055.19 = 476,055.19 : x
  2. Step 2: Convert to fraction form
    217,017.38/476,055.19 = 476,055.19/x
  3. Step 3: Cross multiply
    217,017.38x = 476,055.19 × 476,055.19
  4. Step 4: Simplify right side
    217,017.38x = 226,628,541,545.66
  5. Step 5: Solve for x
    x = 226,628,541,545.66/217,017.38
  6. Step 6: Final answer
    x = 1,044,287.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.