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Finding the Third Proportional to 465.75 and 726.47

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Solution

The third proportional to 465.75 and 726.47 is: 1,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 726.47 = 726.47 : x
  2. Step 2: Convert to fraction form
    465.75/726.47 = 726.47/x
  3. Step 3: Cross multiply
    465.75x = 726.47 × 726.47
  4. Step 4: Simplify right side
    465.75x = 527,756.84
  5. Step 5: Solve for x
    x = 527,756.84/465.75
  6. Step 6: Final answer
    x = 1,133.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.