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Finding the Third Proportional to 244,422 and 371,322

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Solution

The third proportional to 244,422 and 371,322 is: 564,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,422 : 371,322 = 371,322 : x
  2. Step 2: Convert to fraction form
    244,422/371,322 = 371,322/x
  3. Step 3: Cross multiply
    244,422x = 371,322 × 371,322
  4. Step 4: Simplify right side
    244,422x = 137,880,027,684
  5. Step 5: Solve for x
    x = 137,880,027,684/244,422
  6. Step 6: Final answer
    x = 564,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.