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Finding the Third Proportional to 360,828 and 816,108

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Solution

The third proportional to 360,828 and 816,108 is: 1,845,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,828 : 816,108 = 816,108 : x
  2. Step 2: Convert to fraction form
    360,828/816,108 = 816,108/x
  3. Step 3: Cross multiply
    360,828x = 816,108 × 816,108
  4. Step 4: Simplify right side
    360,828x = 666,032,267,664
  5. Step 5: Solve for x
    x = 666,032,267,664/360,828
  6. Step 6: Final answer
    x = 1,845,844.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.