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Finding the Third Proportional to 407,227.50 and 876,595.50

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Solution

The third proportional to 407,227.50 and 876,595.50 is: 1,886,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227.50 : 876,595.50 = 876,595.50 : x
  2. Step 2: Convert to fraction form
    407,227.50/876,595.50 = 876,595.50/x
  3. Step 3: Cross multiply
    407,227.50x = 876,595.50 × 876,595.50
  4. Step 4: Simplify right side
    407,227.50x = 768,419,670,620.25
  5. Step 5: Solve for x
    x = 768,419,670,620.25/407,227.50
  6. Step 6: Final answer
    x = 1,886,954.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.