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Finding the Third Proportional to 218,842.50 and 476,028.38

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Solution

The third proportional to 218,842.50 and 476,028.38 is: 1,035,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,842.50 : 476,028.38 = 476,028.38 : x
  2. Step 2: Convert to fraction form
    218,842.50/476,028.38 = 476,028.38/x
  3. Step 3: Cross multiply
    218,842.50x = 476,028.38 × 476,028.38
  4. Step 4: Simplify right side
    218,842.50x = 226,603,013,805.14
  5. Step 5: Solve for x
    x = 226,603,013,805.14/218,842.50
  6. Step 6: Final answer
    x = 1,035,461.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.