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Finding the Third Proportional to 616.25 and 832.88

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Solution

The third proportional to 616.25 and 832.88 is: 1,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.25 : 832.88 = 832.88 : x
  2. Step 2: Convert to fraction form
    616.25/832.88 = 832.88/x
  3. Step 3: Cross multiply
    616.25x = 832.88 × 832.88
  4. Step 4: Simplify right side
    616.25x = 693,680.77
  5. Step 5: Solve for x
    x = 693,680.77/616.25
  6. Step 6: Final answer
    x = 1,125.65

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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.