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Finding the Third Proportional to 345,660 and 533,230

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Solution

The third proportional to 345,660 and 533,230 is: 822,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,660 : 533,230 = 533,230 : x
  2. Step 2: Convert to fraction form
    345,660/533,230 = 533,230/x
  3. Step 3: Cross multiply
    345,660x = 533,230 × 533,230
  4. Step 4: Simplify right side
    345,660x = 284,334,232,900
  5. Step 5: Solve for x
    x = 284,334,232,900/345,660
  6. Step 6: Final answer
    x = 822,583.56

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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.