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Finding the Third Proportional to 309,098.25 and 659,025

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Solution

The third proportional to 309,098.25 and 659,025 is: 1,405,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,098.25 : 659,025 = 659,025 : x
  2. Step 2: Convert to fraction form
    309,098.25/659,025 = 659,025/x
  3. Step 3: Cross multiply
    309,098.25x = 659,025 × 659,025
  4. Step 4: Simplify right side
    309,098.25x = 434,313,950,625
  5. Step 5: Solve for x
    x = 434,313,950,625/309,098.25
  6. Step 6: Final answer
    x = 1,405,100.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.