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Finding the Third Proportional to 992.18 and 1,458.63

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Solution

The third proportional to 992.18 and 1,458.63 is: 2,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.18 : 1,458.63 = 1,458.63 : x
  2. Step 2: Convert to fraction form
    992.18/1,458.63 = 1,458.63/x
  3. Step 3: Cross multiply
    992.18x = 1,458.63 × 1,458.63
  4. Step 4: Simplify right side
    992.18x = 2,127,609.68
  5. Step 5: Solve for x
    x = 2,127,609.68/992.18
  6. Step 6: Final answer
    x = 2,144.38

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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.