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Finding the Third Proportional to 476.34 and 1,039.31

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Solution

The third proportional to 476.34 and 1,039.31 is: 2,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.34 : 1,039.31 = 1,039.31 : x
  2. Step 2: Convert to fraction form
    476.34/1,039.31 = 1,039.31/x
  3. Step 3: Cross multiply
    476.34x = 1,039.31 × 1,039.31
  4. Step 4: Simplify right side
    476.34x = 1,080,170.47
  5. Step 5: Solve for x
    x = 1,080,170.47/476.34
  6. Step 6: Final answer
    x = 2,267.63

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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.