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Finding the Third Proportional to 218,035.13 and 467,599.50

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Solution

The third proportional to 218,035.13 and 467,599.50 is: 1,002,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,035.13 : 467,599.50 = 467,599.50 : x
  2. Step 2: Convert to fraction form
    218,035.13/467,599.50 = 467,599.50/x
  3. Step 3: Cross multiply
    218,035.13x = 467,599.50 × 467,599.50
  4. Step 4: Simplify right side
    218,035.13x = 218,649,292,400.25
  5. Step 5: Solve for x
    x = 218,649,292,400.25/218,035.13
  6. Step 6: Final answer
    x = 1,002,816.83

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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.