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Finding the Third Proportional to 284,826 and 442,794

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Solution

The third proportional to 284,826 and 442,794 is: 688,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,826 : 442,794 = 442,794 : x
  2. Step 2: Convert to fraction form
    284,826/442,794 = 442,794/x
  3. Step 3: Cross multiply
    284,826x = 442,794 × 442,794
  4. Step 4: Simplify right side
    284,826x = 196,066,526,436
  5. Step 5: Solve for x
    x = 196,066,526,436/284,826
  6. Step 6: Final answer
    x = 688,372.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.