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Finding the Third Proportional to 365,074 and 797,376

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Solution

The third proportional to 365,074 and 797,376 is: 1,741,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,074 : 797,376 = 797,376 : x
  2. Step 2: Convert to fraction form
    365,074/797,376 = 797,376/x
  3. Step 3: Cross multiply
    365,074x = 797,376 × 797,376
  4. Step 4: Simplify right side
    365,074x = 635,808,485,376
  5. Step 5: Solve for x
    x = 635,808,485,376/365,074
  6. Step 6: Final answer
    x = 1,741,587.97

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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.