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Finding the Third Proportional to 473.88 and 1,036.38

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Solution

The third proportional to 473.88 and 1,036.38 is: 2,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.88 : 1,036.38 = 1,036.38 : x
  2. Step 2: Convert to fraction form
    473.88/1,036.38 = 1,036.38/x
  3. Step 3: Cross multiply
    473.88x = 1,036.38 × 1,036.38
  4. Step 4: Simplify right side
    473.88x = 1,074,073.14
  5. Step 5: Solve for x
    x = 1,074,073.14/473.88
  6. Step 6: Final answer
    x = 2,266.57

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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.