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Finding the Third Proportional to 427,495.50 and 914,721.75

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Solution

The third proportional to 427,495.50 and 914,721.75 is: 1,957,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,495.50 : 914,721.75 = 914,721.75 : x
  2. Step 2: Convert to fraction form
    427,495.50/914,721.75 = 914,721.75/x
  3. Step 3: Cross multiply
    427,495.50x = 914,721.75 × 914,721.75
  4. Step 4: Simplify right side
    427,495.50x = 836,715,879,923.06
  5. Step 5: Solve for x
    x = 836,715,879,923.06/427,495.50
  6. Step 6: Final answer
    x = 1,957,250.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.