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Finding the Third Proportional to 284,162 and 424,298

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Solution

The third proportional to 284,162 and 424,298 is: 633,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,162 : 424,298 = 424,298 : x
  2. Step 2: Convert to fraction form
    284,162/424,298 = 424,298/x
  3. Step 3: Cross multiply
    284,162x = 424,298 × 424,298
  4. Step 4: Simplify right side
    284,162x = 180,028,792,804
  5. Step 5: Solve for x
    x = 180,028,792,804/284,162
  6. Step 6: Final answer
    x = 633,542.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.