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Finding the Third Proportional to 284,821 and 672,348

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Solution

The third proportional to 284,821 and 672,348 is: 1,587,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,821 : 672,348 = 672,348 : x
  2. Step 2: Convert to fraction form
    284,821/672,348 = 672,348/x
  3. Step 3: Cross multiply
    284,821x = 672,348 × 672,348
  4. Step 4: Simplify right side
    284,821x = 452,051,833,104
  5. Step 5: Solve for x
    x = 452,051,833,104/284,821
  6. Step 6: Final answer
    x = 1,587,143.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.