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Finding the Third Proportional to 708.47 and 945.14

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Solution

The third proportional to 708.47 and 945.14 is: 1,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.47 : 945.14 = 945.14 : x
  2. Step 2: Convert to fraction form
    708.47/945.14 = 945.14/x
  3. Step 3: Cross multiply
    708.47x = 945.14 × 945.14
  4. Step 4: Simplify right side
    708.47x = 893,290.80
  5. Step 5: Solve for x
    x = 893,290.80/708.47
  6. Step 6: Final answer
    x = 1,260.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.