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Finding the Third Proportional to 284,940 and 439,747

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Solution

The third proportional to 284,940 and 439,747 is: 678,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,940 : 439,747 = 439,747 : x
  2. Step 2: Convert to fraction form
    284,940/439,747 = 439,747/x
  3. Step 3: Cross multiply
    284,940x = 439,747 × 439,747
  4. Step 4: Simplify right side
    284,940x = 193,377,424,009
  5. Step 5: Solve for x
    x = 193,377,424,009/284,940
  6. Step 6: Final answer
    x = 678,660.15

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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.