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Finding the Third Proportional to 710.93 and 1,118.53

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Solution

The third proportional to 710.93 and 1,118.53 is: 1,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 1,118.53 = 1,118.53 : x
  2. Step 2: Convert to fraction form
    710.93/1,118.53 = 1,118.53/x
  3. Step 3: Cross multiply
    710.93x = 1,118.53 × 1,118.53
  4. Step 4: Simplify right side
    710.93x = 1,251,112.16
  5. Step 5: Solve for x
    x = 1,251,112.16/710.93
  6. Step 6: Final answer
    x = 1,759.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.