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Finding the Third Proportional to 664,463.25 and 1,004,622.75

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Solution

The third proportional to 664,463.25 and 1,004,622.75 is: 1,518,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,463.25 : 1,004,622.75 = 1,004,622.75 : x
  2. Step 2: Convert to fraction form
    664,463.25/1,004,622.75 = 1,004,622.75/x
  3. Step 3: Cross multiply
    664,463.25x = 1,004,622.75 × 1,004,622.75
  4. Step 4: Simplify right side
    664,463.25x = 1,009,266,869,817.56
  5. Step 5: Solve for x
    x = 1,009,266,869,817.56/664,463.25
  6. Step 6: Final answer
    x = 1,518,920.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.