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Finding the Third Proportional to 468.60 and 713.02

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Solution

The third proportional to 468.60 and 713.02 is: 1,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 713.02 = 713.02 : x
  2. Step 2: Convert to fraction form
    468.60/713.02 = 713.02/x
  3. Step 3: Cross multiply
    468.60x = 713.02 × 713.02
  4. Step 4: Simplify right side
    468.60x = 508,399.64
  5. Step 5: Solve for x
    x = 508,399.64/468.60
  6. Step 6: Final answer
    x = 1,084.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.