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Finding the Third Proportional to 224,392 and 490,904

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Solution

The third proportional to 224,392 and 490,904 is: 1,073,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,392 : 490,904 = 490,904 : x
  2. Step 2: Convert to fraction form
    224,392/490,904 = 490,904/x
  3. Step 3: Cross multiply
    224,392x = 490,904 × 490,904
  4. Step 4: Simplify right side
    224,392x = 240,986,737,216
  5. Step 5: Solve for x
    x = 240,986,737,216/224,392
  6. Step 6: Final answer
    x = 1,073,954.23

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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.