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Finding the Third Proportional to 369,431 and 797,802

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Solution

The third proportional to 369,431 and 797,802 is: 1,722,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,431 : 797,802 = 797,802 : x
  2. Step 2: Convert to fraction form
    369,431/797,802 = 797,802/x
  3. Step 3: Cross multiply
    369,431x = 797,802 × 797,802
  4. Step 4: Simplify right side
    369,431x = 636,488,031,204
  5. Step 5: Solve for x
    x = 636,488,031,204/369,431
  6. Step 6: Final answer
    x = 1,722,887.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.