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Finding the Third Proportional to 374,316.75 and 811,694.25

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Solution

The third proportional to 374,316.75 and 811,694.25 is: 1,760,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,316.75 : 811,694.25 = 811,694.25 : x
  2. Step 2: Convert to fraction form
    374,316.75/811,694.25 = 811,694.25/x
  3. Step 3: Cross multiply
    374,316.75x = 811,694.25 × 811,694.25
  4. Step 4: Simplify right side
    374,316.75x = 658,847,555,483.06
  5. Step 5: Solve for x
    x = 658,847,555,483.06/374,316.75
  6. Step 6: Final answer
    x = 1,760,133.78

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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.