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Finding the Third Proportional to 365,396 and 797,020

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Solution

The third proportional to 365,396 and 797,020 is: 1,738,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,396 : 797,020 = 797,020 : x
  2. Step 2: Convert to fraction form
    365,396/797,020 = 797,020/x
  3. Step 3: Cross multiply
    365,396x = 797,020 × 797,020
  4. Step 4: Simplify right side
    365,396x = 635,240,880,400
  5. Step 5: Solve for x
    x = 635,240,880,400/365,396
  6. Step 6: Final answer
    x = 1,738,499.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.