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Finding the Third Proportional to 536,450 and 996,820

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Solution

The third proportional to 536,450 and 996,820 is: 1,852,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,450 : 996,820 = 996,820 : x
  2. Step 2: Convert to fraction form
    536,450/996,820 = 996,820/x
  3. Step 3: Cross multiply
    536,450x = 996,820 × 996,820
  4. Step 4: Simplify right side
    536,450x = 993,650,112,400
  5. Step 5: Solve for x
    x = 993,650,112,400/536,450
  6. Step 6: Final answer
    x = 1,852,269.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.