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Finding the Third Proportional to 766.34 and 1,125.77

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Solution

The third proportional to 766.34 and 1,125.77 is: 1,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.34 : 1,125.77 = 1,125.77 : x
  2. Step 2: Convert to fraction form
    766.34/1,125.77 = 1,125.77/x
  3. Step 3: Cross multiply
    766.34x = 1,125.77 × 1,125.77
  4. Step 4: Simplify right side
    766.34x = 1,267,365.83
  5. Step 5: Solve for x
    x = 1,267,365.83/766.34
  6. Step 6: Final answer
    x = 1,653.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.