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Finding the Third Proportional to 473.21 and 726.35

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Solution

The third proportional to 473.21 and 726.35 is: 1,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.21 : 726.35 = 726.35 : x
  2. Step 2: Convert to fraction form
    473.21/726.35 = 726.35/x
  3. Step 3: Cross multiply
    473.21x = 726.35 × 726.35
  4. Step 4: Simplify right side
    473.21x = 527,586.59
  5. Step 5: Solve for x
    x = 527,586.59/473.21
  6. Step 6: Final answer
    x = 1,114.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.