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Finding the Third Proportional to 977.06 and 1,565.44

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Solution

The third proportional to 977.06 and 1,565.44 is: 2,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,565.44 = 1,565.44 : x
  2. Step 2: Convert to fraction form
    977.06/1,565.44 = 1,565.44/x
  3. Step 3: Cross multiply
    977.06x = 1,565.44 × 1,565.44
  4. Step 4: Simplify right side
    977.06x = 2,450,594.57
  5. Step 5: Solve for x
    x = 2,450,594.57/977.06
  6. Step 6: Final answer
    x = 2,508.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.