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Finding the Third Proportional to 442,022 and 666,706

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Solution

The third proportional to 442,022 and 666,706 is: 1,005,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,022 : 666,706 = 666,706 : x
  2. Step 2: Convert to fraction form
    442,022/666,706 = 666,706/x
  3. Step 3: Cross multiply
    442,022x = 666,706 × 666,706
  4. Step 4: Simplify right side
    442,022x = 444,496,890,436
  5. Step 5: Solve for x
    x = 444,496,890,436/442,022
  6. Step 6: Final answer
    x = 1,005,599.02

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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.