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Finding the Third Proportional to 379,064 and 817,174

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Solution

The third proportional to 379,064 and 817,174 is: 1,761,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,064 : 817,174 = 817,174 : x
  2. Step 2: Convert to fraction form
    379,064/817,174 = 817,174/x
  3. Step 3: Cross multiply
    379,064x = 817,174 × 817,174
  4. Step 4: Simplify right side
    379,064x = 667,773,346,276
  5. Step 5: Solve for x
    x = 667,773,346,276/379,064
  6. Step 6: Final answer
    x = 1,761,637.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.