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Finding the Third Proportional to 374,318 and 811,693

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Solution

The third proportional to 374,318 and 811,693 is: 1,760,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,318 : 811,693 = 811,693 : x
  2. Step 2: Convert to fraction form
    374,318/811,693 = 811,693/x
  3. Step 3: Cross multiply
    374,318x = 811,693 × 811,693
  4. Step 4: Simplify right side
    374,318x = 658,845,526,249
  5. Step 5: Solve for x
    x = 658,845,526,249/374,318
  6. Step 6: Final answer
    x = 1,760,122.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.