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Finding the Third Proportional to 724.22 and 1,017.98

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Solution

The third proportional to 724.22 and 1,017.98 is: 1,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.22 : 1,017.98 = 1,017.98 : x
  2. Step 2: Convert to fraction form
    724.22/1,017.98 = 1,017.98/x
  3. Step 3: Cross multiply
    724.22x = 1,017.98 × 1,017.98
  4. Step 4: Simplify right side
    724.22x = 1,036,292.19
  5. Step 5: Solve for x
    x = 1,036,292.19/724.22
  6. Step 6: Final answer
    x = 1,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.