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Finding the Third Proportional to 284,392 and 622,352

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Solution

The third proportional to 284,392 and 622,352 is: 1,361,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,392 : 622,352 = 622,352 : x
  2. Step 2: Convert to fraction form
    284,392/622,352 = 622,352/x
  3. Step 3: Cross multiply
    284,392x = 622,352 × 622,352
  4. Step 4: Simplify right side
    284,392x = 387,322,011,904
  5. Step 5: Solve for x
    x = 387,322,011,904/284,392
  6. Step 6: Final answer
    x = 1,361,930.05

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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.