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Finding the Third Proportional to 407,811.38 and 614,074.50

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Solution

The third proportional to 407,811.38 and 614,074.50 is: 924,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,811.38 : 614,074.50 = 614,074.50 : x
  2. Step 2: Convert to fraction form
    407,811.38/614,074.50 = 614,074.50/x
  3. Step 3: Cross multiply
    407,811.38x = 614,074.50 × 614,074.50
  4. Step 4: Simplify right side
    407,811.38x = 377,087,491,550.25
  5. Step 5: Solve for x
    x = 377,087,491,550.25/407,811.38
  6. Step 6: Final answer
    x = 924,661.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.