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Finding the Third Proportional to 475.31 and 988.31

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Solution

The third proportional to 475.31 and 988.31 is: 2,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 988.31 = 988.31 : x
  2. Step 2: Convert to fraction form
    475.31/988.31 = 988.31/x
  3. Step 3: Cross multiply
    475.31x = 988.31 × 988.31
  4. Step 4: Simplify right side
    475.31x = 976,761.60
  5. Step 5: Solve for x
    x = 976,761.60/475.31
  6. Step 6: Final answer
    x = 2,054.99

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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.