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Finding the Third Proportional to 267,619.88 and 415,030.69

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Solution

The third proportional to 267,619.88 and 415,030.69 is: 643,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,619.88 : 415,030.69 = 415,030.69 : x
  2. Step 2: Convert to fraction form
    267,619.88/415,030.69 = 415,030.69/x
  3. Step 3: Cross multiply
    267,619.88x = 415,030.69 × 415,030.69
  4. Step 4: Simplify right side
    267,619.88x = 172,250,471,566.72
  5. Step 5: Solve for x
    x = 172,250,471,566.72/267,619.88
  6. Step 6: Final answer
    x = 643,638.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.