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Finding the Third Proportional to 773.63 and 1,160.63

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Solution

The third proportional to 773.63 and 1,160.63 is: 1,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.63 : 1,160.63 = 1,160.63 : x
  2. Step 2: Convert to fraction form
    773.63/1,160.63 = 1,160.63/x
  3. Step 3: Cross multiply
    773.63x = 1,160.63 × 1,160.63
  4. Step 4: Simplify right side
    773.63x = 1,347,050.39
  5. Step 5: Solve for x
    x = 1,347,050.39/773.63
  6. Step 6: Final answer
    x = 1,741.22

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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.