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Finding the Third Proportional to 438,771.94 and 674,124.19

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Solution

The third proportional to 438,771.94 and 674,124.19 is: 1,035,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,771.94 : 674,124.19 = 674,124.19 : x
  2. Step 2: Convert to fraction form
    438,771.94/674,124.19 = 674,124.19/x
  3. Step 3: Cross multiply
    438,771.94x = 674,124.19 × 674,124.19
  4. Step 4: Simplify right side
    438,771.94x = 454,443,420,172.54
  5. Step 5: Solve for x
    x = 454,443,420,172.54/438,771.94
  6. Step 6: Final answer
    x = 1,035,716.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.