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Finding the Third Proportional to 605,133 and 822,267

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Solution

The third proportional to 605,133 and 822,267 is: 1,117,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,133 : 822,267 = 822,267 : x
  2. Step 2: Convert to fraction form
    605,133/822,267 = 822,267/x
  3. Step 3: Cross multiply
    605,133x = 822,267 × 822,267
  4. Step 4: Simplify right side
    605,133x = 676,123,019,289
  5. Step 5: Solve for x
    x = 676,123,019,289/605,133
  6. Step 6: Final answer
    x = 1,117,313.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.