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Finding the Third Proportional to 369,696 and 797,064

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Solution

The third proportional to 369,696 and 797,064 is: 1,718,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,696 : 797,064 = 797,064 : x
  2. Step 2: Convert to fraction form
    369,696/797,064 = 797,064/x
  3. Step 3: Cross multiply
    369,696x = 797,064 × 797,064
  4. Step 4: Simplify right side
    369,696x = 635,311,020,096
  5. Step 5: Solve for x
    x = 635,311,020,096/369,696
  6. Step 6: Final answer
    x = 1,718,468.74

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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.