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Finding the Third Proportional to 772.66 and 1,159.95

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Solution

The third proportional to 772.66 and 1,159.95 is: 1,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.66 : 1,159.95 = 1,159.95 : x
  2. Step 2: Convert to fraction form
    772.66/1,159.95 = 1,159.95/x
  3. Step 3: Cross multiply
    772.66x = 1,159.95 × 1,159.95
  4. Step 4: Simplify right side
    772.66x = 1,345,473.13
  5. Step 5: Solve for x
    x = 1,345,473.13/772.66
  6. Step 6: Final answer
    x = 1,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.