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Finding the Third Proportional to 309,784.50 and 656,727.75

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Solution

The third proportional to 309,784.50 and 656,727.75 is: 1,392,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,784.50 : 656,727.75 = 656,727.75 : x
  2. Step 2: Convert to fraction form
    309,784.50/656,727.75 = 656,727.75/x
  3. Step 3: Cross multiply
    309,784.50x = 656,727.75 × 656,727.75
  4. Step 4: Simplify right side
    309,784.50x = 431,291,337,620.06
  5. Step 5: Solve for x
    x = 431,291,337,620.06/309,784.50
  6. Step 6: Final answer
    x = 1,392,230.20

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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.