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Finding the Third Proportional to 442,804 and 664,662

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Solution

The third proportional to 442,804 and 664,662 is: 997,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,804 : 664,662 = 664,662 : x
  2. Step 2: Convert to fraction form
    442,804/664,662 = 664,662/x
  3. Step 3: Cross multiply
    442,804x = 664,662 × 664,662
  4. Step 4: Simplify right side
    442,804x = 441,775,574,244
  5. Step 5: Solve for x
    x = 441,775,574,244/442,804
  6. Step 6: Final answer
    x = 997,677.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.