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Finding the Third Proportional to 284,390 and 622,348

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Solution

The third proportional to 284,390 and 622,348 is: 1,361,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,390 : 622,348 = 622,348 : x
  2. Step 2: Convert to fraction form
    284,390/622,348 = 622,348/x
  3. Step 3: Cross multiply
    284,390x = 622,348 × 622,348
  4. Step 4: Simplify right side
    284,390x = 387,317,033,104
  5. Step 5: Solve for x
    x = 387,317,033,104/284,390
  6. Step 6: Final answer
    x = 1,361,922.12

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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.