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Finding the Third Proportional to 217,015.13 and 476,050.13

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Solution

The third proportional to 217,015.13 and 476,050.13 is: 1,044,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,015.13 : 476,050.13 = 476,050.13 : x
  2. Step 2: Convert to fraction form
    217,015.13/476,050.13 = 476,050.13/x
  3. Step 3: Cross multiply
    217,015.13x = 476,050.13 × 476,050.13
  4. Step 4: Simplify right side
    217,015.13x = 226,623,721,512.52
  5. Step 5: Solve for x
    x = 226,623,721,512.52/217,015.13
  6. Step 6: Final answer
    x = 1,044,276.16

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