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Finding the Third Proportional to 473.75 and 1,013.31

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Solution

The third proportional to 473.75 and 1,013.31 is: 2,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.75 : 1,013.31 = 1,013.31 : x
  2. Step 2: Convert to fraction form
    473.75/1,013.31 = 1,013.31/x
  3. Step 3: Cross multiply
    473.75x = 1,013.31 × 1,013.31
  4. Step 4: Simplify right side
    473.75x = 1,026,802.22
  5. Step 5: Solve for x
    x = 1,026,802.22/473.75
  6. Step 6: Final answer
    x = 2,167.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.