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Finding the Third Proportional to 657.75 and 832.88

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Solution

The third proportional to 657.75 and 832.88 is: 1,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 832.88 = 832.88 : x
  2. Step 2: Convert to fraction form
    657.75/832.88 = 832.88/x
  3. Step 3: Cross multiply
    657.75x = 832.88 × 832.88
  4. Step 4: Simplify right side
    657.75x = 693,680.77
  5. Step 5: Solve for x
    x = 693,680.77/657.75
  6. Step 6: Final answer
    x = 1,054.63

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.