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Finding the Third Proportional to 486.38 and 1,014.94

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Solution

The third proportional to 486.38 and 1,014.94 is: 2,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 1,014.94 = 1,014.94 : x
  2. Step 2: Convert to fraction form
    486.38/1,014.94 = 1,014.94/x
  3. Step 3: Cross multiply
    486.38x = 1,014.94 × 1,014.94
  4. Step 4: Simplify right side
    486.38x = 1,030,098.13
  5. Step 5: Solve for x
    x = 1,030,098.13/486.38
  6. Step 6: Final answer
    x = 2,117.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.