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Finding the Third Proportional to 207,795.69 and 448,745.70

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Solution

The third proportional to 207,795.69 and 448,745.70 is: 969,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,795.69 : 448,745.70 = 448,745.70 : x
  2. Step 2: Convert to fraction form
    207,795.69/448,745.70 = 448,745.70/x
  3. Step 3: Cross multiply
    207,795.69x = 448,745.70 × 448,745.70
  4. Step 4: Simplify right side
    207,795.69x = 201,372,699,061.50
  5. Step 5: Solve for x
    x = 201,372,699,061.50/207,795.69
  6. Step 6: Final answer
    x = 969,089.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.