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Finding the Third Proportional to 284,398 and 603,787

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Solution

The third proportional to 284,398 and 603,787 is: 1,281,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398 : 603,787 = 603,787 : x
  2. Step 2: Convert to fraction form
    284,398/603,787 = 603,787/x
  3. Step 3: Cross multiply
    284,398x = 603,787 × 603,787
  4. Step 4: Simplify right side
    284,398x = 364,558,741,369
  5. Step 5: Solve for x
    x = 364,558,741,369/284,398
  6. Step 6: Final answer
    x = 1,281,861.13

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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.