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Finding the Third Proportional to 366,921 and 767,133

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Solution

The third proportional to 366,921 and 767,133 is: 1,603,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,921 : 767,133 = 767,133 : x
  2. Step 2: Convert to fraction form
    366,921/767,133 = 767,133/x
  3. Step 3: Cross multiply
    366,921x = 767,133 × 767,133
  4. Step 4: Simplify right side
    366,921x = 588,493,039,689
  5. Step 5: Solve for x
    x = 588,493,039,689/366,921
  6. Step 6: Final answer
    x = 1,603,868.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.