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Finding the Third Proportional to 314.25 and 727.13

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Solution

The third proportional to 314.25 and 727.13 is: 1,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 727.13 = 727.13 : x
  2. Step 2: Convert to fraction form
    314.25/727.13 = 727.13/x
  3. Step 3: Cross multiply
    314.25x = 727.13 × 727.13
  4. Step 4: Simplify right side
    314.25x = 528,710.77
  5. Step 5: Solve for x
    x = 528,710.77/314.25
  6. Step 6: Final answer
    x = 1,682.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.