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Finding the Third Proportional to 366,902 and 756,652

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Solution

The third proportional to 366,902 and 756,652 is: 1,560,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,902 : 756,652 = 756,652 : x
  2. Step 2: Convert to fraction form
    366,902/756,652 = 756,652/x
  3. Step 3: Cross multiply
    366,902x = 756,652 × 756,652
  4. Step 4: Simplify right side
    366,902x = 572,522,249,104
  5. Step 5: Solve for x
    x = 572,522,249,104/366,902
  6. Step 6: Final answer
    x = 1,560,422.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.