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Finding the Third Proportional to 374,002 and 811,412

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Solution

The third proportional to 374,002 and 811,412 is: 1,760,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,002 : 811,412 = 811,412 : x
  2. Step 2: Convert to fraction form
    374,002/811,412 = 811,412/x
  3. Step 3: Cross multiply
    374,002x = 811,412 × 811,412
  4. Step 4: Simplify right side
    374,002x = 658,389,433,744
  5. Step 5: Solve for x
    x = 658,389,433,744/374,002
  6. Step 6: Final answer
    x = 1,760,390.14

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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.