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Finding the Third Proportional to 477.94 and 1,009.88

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Solution

The third proportional to 477.94 and 1,009.88 is: 2,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 1,009.88 = 1,009.88 : x
  2. Step 2: Convert to fraction form
    477.94/1,009.88 = 1,009.88/x
  3. Step 3: Cross multiply
    477.94x = 1,009.88 × 1,009.88
  4. Step 4: Simplify right side
    477.94x = 1,019,847.52
  5. Step 5: Solve for x
    x = 1,019,847.52/477.94
  6. Step 6: Final answer
    x = 2,133.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.