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Finding the Third Proportional to 366,830 and 804,965

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Solution

The third proportional to 366,830 and 804,965 is: 1,766,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,830 : 804,965 = 804,965 : x
  2. Step 2: Convert to fraction form
    366,830/804,965 = 804,965/x
  3. Step 3: Cross multiply
    366,830x = 804,965 × 804,965
  4. Step 4: Simplify right side
    366,830x = 647,968,651,225
  5. Step 5: Solve for x
    x = 647,968,651,225/366,830
  6. Step 6: Final answer
    x = 1,766,400.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.