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Finding the Third Proportional to 284,398 and 603,788

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Solution

The third proportional to 284,398 and 603,788 is: 1,281,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398 : 603,788 = 603,788 : x
  2. Step 2: Convert to fraction form
    284,398/603,788 = 603,788/x
  3. Step 3: Cross multiply
    284,398x = 603,788 × 603,788
  4. Step 4: Simplify right side
    284,398x = 364,559,948,944
  5. Step 5: Solve for x
    x = 364,559,948,944/284,398
  6. Step 6: Final answer
    x = 1,281,865.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.