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Finding the Third Proportional to 443.30 and 708.20

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Solution

The third proportional to 443.30 and 708.20 is: 1,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 708.20 = 708.20 : x
  2. Step 2: Convert to fraction form
    443.30/708.20 = 708.20/x
  3. Step 3: Cross multiply
    443.30x = 708.20 × 708.20
  4. Step 4: Simplify right side
    443.30x = 501,545.49
  5. Step 5: Solve for x
    x = 501,545.49/443.30
  6. Step 6: Final answer
    x = 1,131.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.