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Finding the Third Proportional to 284,391 and 622,350

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Solution

The third proportional to 284,391 and 622,350 is: 1,361,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,391 : 622,350 = 622,350 : x
  2. Step 2: Convert to fraction form
    284,391/622,350 = 622,350/x
  3. Step 3: Cross multiply
    284,391x = 622,350 × 622,350
  4. Step 4: Simplify right side
    284,391x = 387,319,522,500
  5. Step 5: Solve for x
    x = 387,319,522,500/284,391
  6. Step 6: Final answer
    x = 1,361,926.09

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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.