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Finding the Third Proportional to 291,221 and 680,173

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Solution

The third proportional to 291,221 and 680,173 is: 1,588,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,221 : 680,173 = 680,173 : x
  2. Step 2: Convert to fraction form
    291,221/680,173 = 680,173/x
  3. Step 3: Cross multiply
    291,221x = 680,173 × 680,173
  4. Step 4: Simplify right side
    291,221x = 462,635,309,929
  5. Step 5: Solve for x
    x = 462,635,309,929/291,221
  6. Step 6: Final answer
    x = 1,588,605.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.