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Finding the Third Proportional to 345,658 and 533,227

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Solution

The third proportional to 345,658 and 533,227 is: 822,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,658 : 533,227 = 533,227 : x
  2. Step 2: Convert to fraction form
    345,658/533,227 = 533,227/x
  3. Step 3: Cross multiply
    345,658x = 533,227 × 533,227
  4. Step 4: Simplify right side
    345,658x = 284,331,033,529
  5. Step 5: Solve for x
    x = 284,331,033,529/345,658
  6. Step 6: Final answer
    x = 822,579.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.