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Finding the Third Proportional to 331,040 and 701,802

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Solution

The third proportional to 331,040 and 701,802 is: 1,487,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,040 : 701,802 = 701,802 : x
  2. Step 2: Convert to fraction form
    331,040/701,802 = 701,802/x
  3. Step 3: Cross multiply
    331,040x = 701,802 × 701,802
  4. Step 4: Simplify right side
    331,040x = 492,526,047,204
  5. Step 5: Solve for x
    x = 492,526,047,204/331,040
  6. Step 6: Final answer
    x = 1,487,814.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.