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Finding the Third Proportional to 934.59 and 1,404.56

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Solution

The third proportional to 934.59 and 1,404.56 is: 2,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.59 : 1,404.56 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    934.59/1,404.56 = 1,404.56/x
  3. Step 3: Cross multiply
    934.59x = 1,404.56 × 1,404.56
  4. Step 4: Simplify right side
    934.59x = 1,972,795.82
  5. Step 5: Solve for x
    x = 1,972,795.82/934.59
  6. Step 6: Final answer
    x = 2,110.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.