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Finding the Third Proportional to 284,391 and 603,774

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Solution

The third proportional to 284,391 and 603,774 is: 1,281,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,391 : 603,774 = 603,774 : x
  2. Step 2: Convert to fraction form
    284,391/603,774 = 603,774/x
  3. Step 3: Cross multiply
    284,391x = 603,774 × 603,774
  4. Step 4: Simplify right side
    284,391x = 364,543,043,076
  5. Step 5: Solve for x
    x = 364,543,043,076/284,391
  6. Step 6: Final answer
    x = 1,281,837.48

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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.