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Finding the Third Proportional to 366,826 and 804,957

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Solution

The third proportional to 366,826 and 804,957 is: 1,766,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,826 : 804,957 = 804,957 : x
  2. Step 2: Convert to fraction form
    366,826/804,957 = 804,957/x
  3. Step 3: Cross multiply
    366,826x = 804,957 × 804,957
  4. Step 4: Simplify right side
    366,826x = 647,955,771,849
  5. Step 5: Solve for x
    x = 647,955,771,849/366,826
  6. Step 6: Final answer
    x = 1,766,384.53

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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.