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Finding the Third Proportional to 369,133 and 804,966

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Solution

The third proportional to 369,133 and 804,966 is: 1,755,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,133 : 804,966 = 804,966 : x
  2. Step 2: Convert to fraction form
    369,133/804,966 = 804,966/x
  3. Step 3: Cross multiply
    369,133x = 804,966 × 804,966
  4. Step 4: Simplify right side
    369,133x = 647,970,261,156
  5. Step 5: Solve for x
    x = 647,970,261,156/369,133
  6. Step 6: Final answer
    x = 1,755,384.27

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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.