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Finding the Third Proportional to 473.88 and 986.38

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Solution

The third proportional to 473.88 and 986.38 is: 2,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.88 : 986.38 = 986.38 : x
  2. Step 2: Convert to fraction form
    473.88/986.38 = 986.38/x
  3. Step 3: Cross multiply
    473.88x = 986.38 × 986.38
  4. Step 4: Simplify right side
    473.88x = 972,935.64
  5. Step 5: Solve for x
    x = 972,935.64/473.88
  6. Step 6: Final answer
    x = 2,053.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.