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Finding the Third Proportional to 708.38 and 1,300.31

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Solution

The third proportional to 708.38 and 1,300.31 is: 2,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.38 : 1,300.31 = 1,300.31 : x
  2. Step 2: Convert to fraction form
    708.38/1,300.31 = 1,300.31/x
  3. Step 3: Cross multiply
    708.38x = 1,300.31 × 1,300.31
  4. Step 4: Simplify right side
    708.38x = 1,690,812.60
  5. Step 5: Solve for x
    x = 1,690,812.60/708.38
  6. Step 6: Final answer
    x = 2,386.89

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.