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Finding the Third Proportional to 424,176.75 and 914,773.50

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Solution

The third proportional to 424,176.75 and 914,773.50 is: 1,972,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,176.75 : 914,773.50 = 914,773.50 : x
  2. Step 2: Convert to fraction form
    424,176.75/914,773.50 = 914,773.50/x
  3. Step 3: Cross multiply
    424,176.75x = 914,773.50 × 914,773.50
  4. Step 4: Simplify right side
    424,176.75x = 836,810,556,302.25
  5. Step 5: Solve for x
    x = 836,810,556,302.25/424,176.75
  6. Step 6: Final answer
    x = 1,972,787.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.