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Finding the Third Proportional to 912.50 and 1,404.50

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Solution

The third proportional to 912.50 and 1,404.50 is: 2,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.50 : 1,404.50 = 1,404.50 : x
  2. Step 2: Convert to fraction form
    912.50/1,404.50 = 1,404.50/x
  3. Step 3: Cross multiply
    912.50x = 1,404.50 × 1,404.50
  4. Step 4: Simplify right side
    912.50x = 1,972,620.25
  5. Step 5: Solve for x
    x = 1,972,620.25/912.50
  6. Step 6: Final answer
    x = 2,161.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.