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Finding the Third Proportional to 722.67 and 1,034.17

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Solution

The third proportional to 722.67 and 1,034.17 is: 1,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.67 : 1,034.17 = 1,034.17 : x
  2. Step 2: Convert to fraction form
    722.67/1,034.17 = 1,034.17/x
  3. Step 3: Cross multiply
    722.67x = 1,034.17 × 1,034.17
  4. Step 4: Simplify right side
    722.67x = 1,069,515.51
  5. Step 5: Solve for x
    x = 1,069,515.51/722.67
  6. Step 6: Final answer
    x = 1,479.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.