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Finding the Third Proportional to 207,777.75 and 448,783.50

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Solution

The third proportional to 207,777.75 and 448,783.50 is: 969,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,777.75 : 448,783.50 = 448,783.50 : x
  2. Step 2: Convert to fraction form
    207,777.75/448,783.50 = 448,783.50/x
  3. Step 3: Cross multiply
    207,777.75x = 448,783.50 × 448,783.50
  4. Step 4: Simplify right side
    207,777.75x = 201,406,629,872.25
  5. Step 5: Solve for x
    x = 201,406,629,872.25/207,777.75
  6. Step 6: Final answer
    x = 969,336.85

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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.