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Finding the Third Proportional to 370,046 and 797,192

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Solution

The third proportional to 370,046 and 797,192 is: 1,717,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,046 : 797,192 = 797,192 : x
  2. Step 2: Convert to fraction form
    370,046/797,192 = 797,192/x
  3. Step 3: Cross multiply
    370,046x = 797,192 × 797,192
  4. Step 4: Simplify right side
    370,046x = 635,515,084,864
  5. Step 5: Solve for x
    x = 635,515,084,864/370,046
  6. Step 6: Final answer
    x = 1,717,394.82

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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.