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Finding the Third Proportional to 217,014.19 and 476,048.39

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Solution

The third proportional to 217,014.19 and 476,048.39 is: 1,044,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,014.19 : 476,048.39 = 476,048.39 : x
  2. Step 2: Convert to fraction form
    217,014.19/476,048.39 = 476,048.39/x
  3. Step 3: Cross multiply
    217,014.19x = 476,048.39 × 476,048.39
  4. Step 4: Simplify right side
    217,014.19x = 226,622,070,216.65
  5. Step 5: Solve for x
    x = 226,622,070,216.65/217,014.19
  6. Step 6: Final answer
    x = 1,044,273.06

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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.