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Finding the Third Proportional to 448,008.75 and 984,591

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Solution

The third proportional to 448,008.75 and 984,591 is: 2,163,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,008.75 : 984,591 = 984,591 : x
  2. Step 2: Convert to fraction form
    448,008.75/984,591 = 984,591/x
  3. Step 3: Cross multiply
    448,008.75x = 984,591 × 984,591
  4. Step 4: Simplify right side
    448,008.75x = 969,419,437,281
  5. Step 5: Solve for x
    x = 969,419,437,281/448,008.75
  6. Step 6: Final answer
    x = 2,163,840.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.