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Finding the Third Proportional to 217,020.75 and 476,061.75

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Solution

The third proportional to 217,020.75 and 476,061.75 is: 1,044,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,020.75 : 476,061.75 = 476,061.75 : x
  2. Step 2: Convert to fraction form
    217,020.75/476,061.75 = 476,061.75/x
  3. Step 3: Cross multiply
    217,020.75x = 476,061.75 × 476,061.75
  4. Step 4: Simplify right side
    217,020.75x = 226,634,789,813.06
  5. Step 5: Solve for x
    x = 226,634,789,813.06/217,020.75
  6. Step 6: Final answer
    x = 1,044,300.09

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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.