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Finding the Third Proportional to 977.06 and 1,576.97

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Solution

The third proportional to 977.06 and 1,576.97 is: 2,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,576.97 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    977.06/1,576.97 = 1,576.97/x
  3. Step 3: Cross multiply
    977.06x = 1,576.97 × 1,576.97
  4. Step 4: Simplify right side
    977.06x = 2,486,830.44
  5. Step 5: Solve for x
    x = 2,486,830.44/977.06
  6. Step 6: Final answer
    x = 2,545.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.