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Finding the Third Proportional to 538,218 and 833,374

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Solution

The third proportional to 538,218 and 833,374 is: 1,290,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,218 : 833,374 = 833,374 : x
  2. Step 2: Convert to fraction form
    538,218/833,374 = 833,374/x
  3. Step 3: Cross multiply
    538,218x = 833,374 × 833,374
  4. Step 4: Simplify right side
    538,218x = 694,512,223,876
  5. Step 5: Solve for x
    x = 694,512,223,876/538,218
  6. Step 6: Final answer
    x = 1,290,392.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.