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Finding the Third Proportional to 436,015.13 and 636,769.13

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Solution

The third proportional to 436,015.13 and 636,769.13 is: 929,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,015.13 : 636,769.13 = 636,769.13 : x
  2. Step 2: Convert to fraction form
    436,015.13/636,769.13 = 636,769.13/x
  3. Step 3: Cross multiply
    436,015.13x = 636,769.13 × 636,769.13
  4. Step 4: Simplify right side
    436,015.13x = 405,474,918,553.27
  5. Step 5: Solve for x
    x = 405,474,918,553.27/436,015.13
  6. Step 6: Final answer
    x = 929,956.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.