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Finding the Third Proportional to 724.08 and 1,583.72

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Solution

The third proportional to 724.08 and 1,583.72 is: 3,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.08 : 1,583.72 = 1,583.72 : x
  2. Step 2: Convert to fraction form
    724.08/1,583.72 = 1,583.72/x
  3. Step 3: Cross multiply
    724.08x = 1,583.72 × 1,583.72
  4. Step 4: Simplify right side
    724.08x = 2,508,165.08
  5. Step 5: Solve for x
    x = 2,508,165.08/724.08
  6. Step 6: Final answer
    x = 3,463.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.