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Finding the Third Proportional to 1,039.92 and 1,360.76

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Solution

The third proportional to 1,039.92 and 1,360.76 is: 1,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.92 : 1,360.76 = 1,360.76 : x
  2. Step 2: Convert to fraction form
    1,039.92/1,360.76 = 1,360.76/x
  3. Step 3: Cross multiply
    1,039.92x = 1,360.76 × 1,360.76
  4. Step 4: Simplify right side
    1,039.92x = 1,851,661.82
  5. Step 5: Solve for x
    x = 1,851,661.82/1,039.92
  6. Step 6: Final answer
    x = 1,780.58

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.