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Finding the Third Proportional to 665,232.75 and 1,377,715.50

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Solution

The third proportional to 665,232.75 and 1,377,715.50 is: 2,853,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,232.75 : 1,377,715.50 = 1,377,715.50 : x
  2. Step 2: Convert to fraction form
    665,232.75/1,377,715.50 = 1,377,715.50/x
  3. Step 3: Cross multiply
    665,232.75x = 1,377,715.50 × 1,377,715.50
  4. Step 4: Simplify right side
    665,232.75x = 1,898,099,998,940.25
  5. Step 5: Solve for x
    x = 1,898,099,998,940.25/665,232.75
  6. Step 6: Final answer
    x = 2,853,287.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.