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Finding the Third Proportional to 371,616.50 and 814,229.50

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Solution

The third proportional to 371,616.50 and 814,229.50 is: 1,784,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,616.50 : 814,229.50 = 814,229.50 : x
  2. Step 2: Convert to fraction form
    371,616.50/814,229.50 = 814,229.50/x
  3. Step 3: Cross multiply
    371,616.50x = 814,229.50 × 814,229.50
  4. Step 4: Simplify right side
    371,616.50x = 662,969,678,670.25
  5. Step 5: Solve for x
    x = 662,969,678,670.25/371,616.50
  6. Step 6: Final answer
    x = 1,784,015.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.