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Finding the Third Proportional to 651.16 and 958.71

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Solution

The third proportional to 651.16 and 958.71 is: 1,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 958.71 = 958.71 : x
  2. Step 2: Convert to fraction form
    651.16/958.71 = 958.71/x
  3. Step 3: Cross multiply
    651.16x = 958.71 × 958.71
  4. Step 4: Simplify right side
    651.16x = 919,126.66
  5. Step 5: Solve for x
    x = 919,126.66/651.16
  6. Step 6: Final answer
    x = 1,411.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.