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Finding the Third Proportional to 713.81 and 1,497.39

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Solution

The third proportional to 713.81 and 1,497.39 is: 3,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,497.39 = 1,497.39 : x
  2. Step 2: Convert to fraction form
    713.81/1,497.39 = 1,497.39/x
  3. Step 3: Cross multiply
    713.81x = 1,497.39 × 1,497.39
  4. Step 4: Simplify right side
    713.81x = 2,242,184.53
  5. Step 5: Solve for x
    x = 2,242,184.53/713.81
  6. Step 6: Final answer
    x = 3,141.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.