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Finding the Third Proportional to 284,311 and 618,444

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Solution

The third proportional to 284,311 and 618,444 is: 1,345,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,311 : 618,444 = 618,444 : x
  2. Step 2: Convert to fraction form
    284,311/618,444 = 618,444/x
  3. Step 3: Cross multiply
    284,311x = 618,444 × 618,444
  4. Step 4: Simplify right side
    284,311x = 382,472,981,136
  5. Step 5: Solve for x
    x = 382,472,981,136/284,311
  6. Step 6: Final answer
    x = 1,345,262.69

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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.