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Finding the Third Proportional to 284,256 and 618,624

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Solution

The third proportional to 284,256 and 618,624 is: 1,346,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,256 : 618,624 = 618,624 : x
  2. Step 2: Convert to fraction form
    284,256/618,624 = 618,624/x
  3. Step 3: Cross multiply
    284,256x = 618,624 × 618,624
  4. Step 4: Simplify right side
    284,256x = 382,695,653,376
  5. Step 5: Solve for x
    x = 382,695,653,376/284,256
  6. Step 6: Final answer
    x = 1,346,306.33

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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.