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Finding the Third Proportional to 660.50 and 1,127

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Solution

The third proportional to 660.50 and 1,127 is: 1,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.50 : 1,127 = 1,127 : x
  2. Step 2: Convert to fraction form
    660.50/1,127 = 1,127/x
  3. Step 3: Cross multiply
    660.50x = 1,127 × 1,127
  4. Step 4: Simplify right side
    660.50x = 1,270,129
  5. Step 5: Solve for x
    x = 1,270,129/660.50
  6. Step 6: Final answer
    x = 1,922.98

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.