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Finding the Third Proportional to 465.84 and 726.28

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Solution

The third proportional to 465.84 and 726.28 is: 1,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 726.28 = 726.28 : x
  2. Step 2: Convert to fraction form
    465.84/726.28 = 726.28/x
  3. Step 3: Cross multiply
    465.84x = 726.28 × 726.28
  4. Step 4: Simplify right side
    465.84x = 527,484.45
  5. Step 5: Solve for x
    x = 527,484.45/465.84
  6. Step 6: Final answer
    x = 1,132.32

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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.