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Finding the Third Proportional to 476.58 and 1,040.91

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Solution

The third proportional to 476.58 and 1,040.91 is: 2,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.58 : 1,040.91 = 1,040.91 : x
  2. Step 2: Convert to fraction form
    476.58/1,040.91 = 1,040.91/x
  3. Step 3: Cross multiply
    476.58x = 1,040.91 × 1,040.91
  4. Step 4: Simplify right side
    476.58x = 1,083,485.82
  5. Step 5: Solve for x
    x = 1,083,485.82/476.58
  6. Step 6: Final answer
    x = 2,273.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.