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Finding the Third Proportional to 657.19 and 992.81

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Solution

The third proportional to 657.19 and 992.81 is: 1,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 992.81 = 992.81 : x
  2. Step 2: Convert to fraction form
    657.19/992.81 = 992.81/x
  3. Step 3: Cross multiply
    657.19x = 992.81 × 992.81
  4. Step 4: Simplify right side
    657.19x = 985,676.66
  5. Step 5: Solve for x
    x = 985,676.66/657.19
  6. Step 6: Final answer
    x = 1,499.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.