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Finding the Third Proportional to 309,762 and 636,198.75

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Solution

The third proportional to 309,762 and 636,198.75 is: 1,306,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,762 : 636,198.75 = 636,198.75 : x
  2. Step 2: Convert to fraction form
    309,762/636,198.75 = 636,198.75/x
  3. Step 3: Cross multiply
    309,762x = 636,198.75 × 636,198.75
  4. Step 4: Simplify right side
    309,762x = 404,748,849,501.56
  5. Step 5: Solve for x
    x = 404,748,849,501.56/309,762
  6. Step 6: Final answer
    x = 1,306,644.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.