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Finding the Third Proportional to 370,047 and 797,193

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Solution

The third proportional to 370,047 and 797,193 is: 1,717,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,047 : 797,193 = 797,193 : x
  2. Step 2: Convert to fraction form
    370,047/797,193 = 797,193/x
  3. Step 3: Cross multiply
    370,047x = 797,193 × 797,193
  4. Step 4: Simplify right side
    370,047x = 635,516,679,249
  5. Step 5: Solve for x
    x = 635,516,679,249/370,047
  6. Step 6: Final answer
    x = 1,717,394.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.