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Finding the Third Proportional to 284,367 and 618,949.13

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Solution

The third proportional to 284,367 and 618,949.13 is: 1,347,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,367 : 618,949.13 = 618,949.13 : x
  2. Step 2: Convert to fraction form
    284,367/618,949.13 = 618,949.13/x
  3. Step 3: Cross multiply
    284,367x = 618,949.13 × 618,949.13
  4. Step 4: Simplify right side
    284,367x = 383,098,019,338.27
  5. Step 5: Solve for x
    x = 383,098,019,338.27/284,367
  6. Step 6: Final answer
    x = 1,347,195.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.