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Finding the Third Proportional to 716.16 and 966.23

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Solution

The third proportional to 716.16 and 966.23 is: 1,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.16 : 966.23 = 966.23 : x
  2. Step 2: Convert to fraction form
    716.16/966.23 = 966.23/x
  3. Step 3: Cross multiply
    716.16x = 966.23 × 966.23
  4. Step 4: Simplify right side
    716.16x = 933,608.87
  5. Step 5: Solve for x
    x = 933,608.87/716.16
  6. Step 6: Final answer
    x = 1,303.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.