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Finding the Third Proportional to 724.13 and 832.13

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Solution

The third proportional to 724.13 and 832.13 is: 956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.13 : 832.13 = 832.13 : x
  2. Step 2: Convert to fraction form
    724.13/832.13 = 832.13/x
  3. Step 3: Cross multiply
    724.13x = 832.13 × 832.13
  4. Step 4: Simplify right side
    724.13x = 692,432.02
  5. Step 5: Solve for x
    x = 692,432.02/724.13
  6. Step 6: Final answer
    x = 956.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.