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Finding the Third Proportional to 713.25 and 1,407.19

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Solution

The third proportional to 713.25 and 1,407.19 is: 2,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.25 : 1,407.19 = 1,407.19 : x
  2. Step 2: Convert to fraction form
    713.25/1,407.19 = 1,407.19/x
  3. Step 3: Cross multiply
    713.25x = 1,407.19 × 1,407.19
  4. Step 4: Simplify right side
    713.25x = 1,980,176.66
  5. Step 5: Solve for x
    x = 1,980,176.66/713.25
  6. Step 6: Final answer
    x = 2,776.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.