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Finding the Third Proportional to 478.14 and 1,013.94

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Solution

The third proportional to 478.14 and 1,013.94 is: 2,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.14 : 1,013.94 = 1,013.94 : x
  2. Step 2: Convert to fraction form
    478.14/1,013.94 = 1,013.94/x
  3. Step 3: Cross multiply
    478.14x = 1,013.94 × 1,013.94
  4. Step 4: Simplify right side
    478.14x = 1,028,081.63
  5. Step 5: Solve for x
    x = 1,028,081.63/478.14
  6. Step 6: Final answer
    x = 2,150.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.