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Finding the Third Proportional to 749,299.50 and 825,369.75

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Solution

The third proportional to 749,299.50 and 825,369.75 is: 909,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,299.50 : 825,369.75 = 825,369.75 : x
  2. Step 2: Convert to fraction form
    749,299.50/825,369.75 = 825,369.75/x
  3. Step 3: Cross multiply
    749,299.50x = 825,369.75 × 825,369.75
  4. Step 4: Simplify right side
    749,299.50x = 681,235,224,215.06
  5. Step 5: Solve for x
    x = 681,235,224,215.06/749,299.50
  6. Step 6: Final answer
    x = 909,162.79

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.