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Finding the Third Proportional to 263.81 and 713.53

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Solution

The third proportional to 263.81 and 713.53 is: 1,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 713.53 = 713.53 : x
  2. Step 2: Convert to fraction form
    263.81/713.53 = 713.53/x
  3. Step 3: Cross multiply
    263.81x = 713.53 × 713.53
  4. Step 4: Simplify right side
    263.81x = 509,126.84
  5. Step 5: Solve for x
    x = 509,126.84/263.81
  6. Step 6: Final answer
    x = 1,929.88

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.