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Finding the Third Proportional to 761.06 and 1,027.83

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Solution

The third proportional to 761.06 and 1,027.83 is: 1,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.06 : 1,027.83 = 1,027.83 : x
  2. Step 2: Convert to fraction form
    761.06/1,027.83 = 1,027.83/x
  3. Step 3: Cross multiply
    761.06x = 1,027.83 × 1,027.83
  4. Step 4: Simplify right side
    761.06x = 1,056,430.65
  5. Step 5: Solve for x
    x = 1,056,430.65/761.06
  6. Step 6: Final answer
    x = 1,388.10

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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.