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Finding the Third Proportional to 284,024 and 622,368

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Solution

The third proportional to 284,024 and 622,368 is: 1,363,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,024 : 622,368 = 622,368 : x
  2. Step 2: Convert to fraction form
    284,024/622,368 = 622,368/x
  3. Step 3: Cross multiply
    284,024x = 622,368 × 622,368
  4. Step 4: Simplify right side
    284,024x = 387,341,927,424
  5. Step 5: Solve for x
    x = 387,341,927,424/284,024
  6. Step 6: Final answer
    x = 1,363,764.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.