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Finding the Third Proportional to 1,051.31 and 1,404.56

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Solution

The third proportional to 1,051.31 and 1,404.56 is: 1,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.31 : 1,404.56 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    1,051.31/1,404.56 = 1,404.56/x
  3. Step 3: Cross multiply
    1,051.31x = 1,404.56 × 1,404.56
  4. Step 4: Simplify right side
    1,051.31x = 1,972,795.82
  5. Step 5: Solve for x
    x = 1,972,795.82/1,051.31
  6. Step 6: Final answer
    x = 1,876.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.