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Finding the Third Proportional to 369,108 and 804,920

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Solution

The third proportional to 369,108 and 804,920 is: 1,755,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,108 : 804,920 = 804,920 : x
  2. Step 2: Convert to fraction form
    369,108/804,920 = 804,920/x
  3. Step 3: Cross multiply
    369,108x = 804,920 × 804,920
  4. Step 4: Simplify right side
    369,108x = 647,896,206,400
  5. Step 5: Solve for x
    x = 647,896,206,400/369,108
  6. Step 6: Final answer
    x = 1,755,302.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.