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Finding the Third Proportional to 713.06 and 1,758.56

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Solution

The third proportional to 713.06 and 1,758.56 is: 4,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.06 : 1,758.56 = 1,758.56 : x
  2. Step 2: Convert to fraction form
    713.06/1,758.56 = 1,758.56/x
  3. Step 3: Cross multiply
    713.06x = 1,758.56 × 1,758.56
  4. Step 4: Simplify right side
    713.06x = 3,092,542.07
  5. Step 5: Solve for x
    x = 3,092,542.07/713.06
  6. Step 6: Final answer
    x = 4,336.99

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.