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Finding the Third Proportional to 469.50 and 724.13

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Solution

The third proportional to 469.50 and 724.13 is: 1,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 724.13 = 724.13 : x
  2. Step 2: Convert to fraction form
    469.50/724.13 = 724.13/x
  3. Step 3: Cross multiply
    469.50x = 724.13 × 724.13
  4. Step 4: Simplify right side
    469.50x = 524,357.02
  5. Step 5: Solve for x
    x = 524,357.02/469.50
  6. Step 6: Final answer
    x = 1,116.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.