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Finding the Third Proportional to 1,207.88 and 1,776.19

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Solution

The third proportional to 1,207.88 and 1,776.19 is: 2,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.88 : 1,776.19 = 1,776.19 : x
  2. Step 2: Convert to fraction form
    1,207.88/1,776.19 = 1,776.19/x
  3. Step 3: Cross multiply
    1,207.88x = 1,776.19 × 1,776.19
  4. Step 4: Simplify right side
    1,207.88x = 3,154,842.04
  5. Step 5: Solve for x
    x = 3,154,842.04/1,207.88
  6. Step 6: Final answer
    x = 2,611.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.