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Finding the Third Proportional to 758.81 and 1,025.06

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Solution

The third proportional to 758.81 and 1,025.06 is: 1,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.81 : 1,025.06 = 1,025.06 : x
  2. Step 2: Convert to fraction form
    758.81/1,025.06 = 1,025.06/x
  3. Step 3: Cross multiply
    758.81x = 1,025.06 × 1,025.06
  4. Step 4: Simplify right side
    758.81x = 1,050,753.13
  5. Step 5: Solve for x
    x = 1,050,753.13/758.81
  6. Step 6: Final answer
    x = 1,384.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.