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Finding the Third Proportional to 536,112 and 833,571

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Solution

The third proportional to 536,112 and 833,571 is: 1,296,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,112 : 833,571 = 833,571 : x
  2. Step 2: Convert to fraction form
    536,112/833,571 = 833,571/x
  3. Step 3: Cross multiply
    536,112x = 833,571 × 833,571
  4. Step 4: Simplify right side
    536,112x = 694,840,612,041
  5. Step 5: Solve for x
    x = 694,840,612,041/536,112
  6. Step 6: Final answer
    x = 1,296,073.60

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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.