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Finding the Third Proportional to 284,310 and 603,612

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Solution

The third proportional to 284,310 and 603,612 is: 1,281,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310 : 603,612 = 603,612 : x
  2. Step 2: Convert to fraction form
    284,310/603,612 = 603,612/x
  3. Step 3: Cross multiply
    284,310x = 603,612 × 603,612
  4. Step 4: Simplify right side
    284,310x = 364,347,446,544
  5. Step 5: Solve for x
    x = 364,347,446,544/284,310
  6. Step 6: Final answer
    x = 1,281,514.71

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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.