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Finding the Third Proportional to 713.53 and 930.19

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Solution

The third proportional to 713.53 and 930.19 is: 1,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 930.19 = 930.19 : x
  2. Step 2: Convert to fraction form
    713.53/930.19 = 930.19/x
  3. Step 3: Cross multiply
    713.53x = 930.19 × 930.19
  4. Step 4: Simplify right side
    713.53x = 865,248.79
  5. Step 5: Solve for x
    x = 865,248.79/713.53
  6. Step 6: Final answer
    x = 1,212.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.