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Finding the Third Proportional to 370,061 and 797,221

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Solution

The third proportional to 370,061 and 797,221 is: 1,717,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,061 : 797,221 = 797,221 : x
  2. Step 2: Convert to fraction form
    370,061/797,221 = 797,221/x
  3. Step 3: Cross multiply
    370,061x = 797,221 × 797,221
  4. Step 4: Simplify right side
    370,061x = 635,561,322,841
  5. Step 5: Solve for x
    x = 635,561,322,841/370,061
  6. Step 6: Final answer
    x = 1,717,450.16

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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.