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Finding the Third Proportional to 468.80 and 1,009.73

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Solution

The third proportional to 468.80 and 1,009.73 is: 2,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 1,009.73 = 1,009.73 : x
  2. Step 2: Convert to fraction form
    468.80/1,009.73 = 1,009.73/x
  3. Step 3: Cross multiply
    468.80x = 1,009.73 × 1,009.73
  4. Step 4: Simplify right side
    468.80x = 1,019,563.51
  5. Step 5: Solve for x
    x = 1,019,563.51/468.80
  6. Step 6: Final answer
    x = 2,174.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.