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Finding the Third Proportional to 424,050.75 and 914,523.75

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Solution

The third proportional to 424,050.75 and 914,523.75 is: 1,972,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,050.75 : 914,523.75 = 914,523.75 : x
  2. Step 2: Convert to fraction form
    424,050.75/914,523.75 = 914,523.75/x
  3. Step 3: Cross multiply
    424,050.75x = 914,523.75 × 914,523.75
  4. Step 4: Simplify right side
    424,050.75x = 836,353,689,314.06
  5. Step 5: Solve for x
    x = 836,353,689,314.06/424,050.75
  6. Step 6: Final answer
    x = 1,972,296.22

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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.