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Finding the Third Proportional to 477.58 and 1,044.81

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Solution

The third proportional to 477.58 and 1,044.81 is: 2,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 1,044.81 = 1,044.81 : x
  2. Step 2: Convert to fraction form
    477.58/1,044.81 = 1,044.81/x
  3. Step 3: Cross multiply
    477.58x = 1,044.81 × 1,044.81
  4. Step 4: Simplify right side
    477.58x = 1,091,634.18
  5. Step 5: Solve for x
    x = 1,091,634.18/477.58
  6. Step 6: Final answer
    x = 2,285.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.