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Finding the Third Proportional to 530,262 and 822,366

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Solution

The third proportional to 530,262 and 822,366 is: 1,275,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,262 : 822,366 = 822,366 : x
  2. Step 2: Convert to fraction form
    530,262/822,366 = 822,366/x
  3. Step 3: Cross multiply
    530,262x = 822,366 × 822,366
  4. Step 4: Simplify right side
    530,262x = 676,285,837,956
  5. Step 5: Solve for x
    x = 676,285,837,956/530,262
  6. Step 6: Final answer
    x = 1,275,380.54

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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.