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Finding the Third Proportional to 511,588 and 852,595

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Solution

The third proportional to 511,588 and 852,595 is: 1,420,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,588 : 852,595 = 852,595 : x
  2. Step 2: Convert to fraction form
    511,588/852,595 = 852,595/x
  3. Step 3: Cross multiply
    511,588x = 852,595 × 852,595
  4. Step 4: Simplify right side
    511,588x = 726,918,234,025
  5. Step 5: Solve for x
    x = 726,918,234,025/511,588
  6. Step 6: Final answer
    x = 1,420,905.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.