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Finding the Third Proportional to 730.27 and 1,583.30

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Solution

The third proportional to 730.27 and 1,583.30 is: 3,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.27 : 1,583.30 = 1,583.30 : x
  2. Step 2: Convert to fraction form
    730.27/1,583.30 = 1,583.30/x
  3. Step 3: Cross multiply
    730.27x = 1,583.30 × 1,583.30
  4. Step 4: Simplify right side
    730.27x = 2,506,828.99
  5. Step 5: Solve for x
    x = 2,506,828.99/730.27
  6. Step 6: Final answer
    x = 3,432.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.