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Finding the Third Proportional to 309,850 and 656,895

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Solution

The third proportional to 309,850 and 656,895 is: 1,392,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,850 : 656,895 = 656,895 : x
  2. Step 2: Convert to fraction form
    309,850/656,895 = 656,895/x
  3. Step 3: Cross multiply
    309,850x = 656,895 × 656,895
  4. Step 4: Simplify right side
    309,850x = 431,511,041,025
  5. Step 5: Solve for x
    x = 431,511,041,025/309,850
  6. Step 6: Final answer
    x = 1,392,644.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.