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Finding the Third Proportional to 366,957 and 767,205

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Solution

The third proportional to 366,957 and 767,205 is: 1,604,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,957 : 767,205 = 767,205 : x
  2. Step 2: Convert to fraction form
    366,957/767,205 = 767,205/x
  3. Step 3: Cross multiply
    366,957x = 767,205 × 767,205
  4. Step 4: Simplify right side
    366,957x = 588,603,512,025
  5. Step 5: Solve for x
    x = 588,603,512,025/366,957
  6. Step 6: Final answer
    x = 1,604,012.22

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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.