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Finding the Third Proportional to 284,401.31 and 614,414.63

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Solution

The third proportional to 284,401.31 and 614,414.63 is: 1,327,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,401.31 : 614,414.63 = 614,414.63 : x
  2. Step 2: Convert to fraction form
    284,401.31/614,414.63 = 614,414.63/x
  3. Step 3: Cross multiply
    284,401.31x = 614,414.63 × 614,414.63
  4. Step 4: Simplify right side
    284,401.31x = 377,505,331,413.89
  5. Step 5: Solve for x
    x = 377,505,331,413.89/284,401.31
  6. Step 6: Final answer
    x = 1,327,368.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.