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Finding the Third Proportional to 369,404 and 797,860

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Solution

The third proportional to 369,404 and 797,860 is: 1,723,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,404 : 797,860 = 797,860 : x
  2. Step 2: Convert to fraction form
    369,404/797,860 = 797,860/x
  3. Step 3: Cross multiply
    369,404x = 797,860 × 797,860
  4. Step 4: Simplify right side
    369,404x = 636,580,579,600
  5. Step 5: Solve for x
    x = 636,580,579,600/369,404
  6. Step 6: Final answer
    x = 1,723,263.91

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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.