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Finding the Third Proportional to 369,486 and 796,628

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Solution

The third proportional to 369,486 and 796,628 is: 1,717,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,486 : 796,628 = 796,628 : x
  2. Step 2: Convert to fraction form
    369,486/796,628 = 796,628/x
  3. Step 3: Cross multiply
    369,486x = 796,628 × 796,628
  4. Step 4: Simplify right side
    369,486x = 634,616,170,384
  5. Step 5: Solve for x
    x = 634,616,170,384/369,486
  6. Step 6: Final answer
    x = 1,717,564.86

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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.