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Finding the Third Proportional to 369,488 and 796,632

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Solution

The third proportional to 369,488 and 796,632 is: 1,717,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,488 : 796,632 = 796,632 : x
  2. Step 2: Convert to fraction form
    369,488/796,632 = 796,632/x
  3. Step 3: Cross multiply
    369,488x = 796,632 × 796,632
  4. Step 4: Simplify right side
    369,488x = 634,622,543,424
  5. Step 5: Solve for x
    x = 634,622,543,424/369,488
  6. Step 6: Final answer
    x = 1,717,572.81

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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.