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Finding the Third Proportional to 461,710 and 693,901

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Solution

The third proportional to 461,710 and 693,901 is: 1,042,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,710 : 693,901 = 693,901 : x
  2. Step 2: Convert to fraction form
    461,710/693,901 = 693,901/x
  3. Step 3: Cross multiply
    461,710x = 693,901 × 693,901
  4. Step 4: Simplify right side
    461,710x = 481,498,597,801
  5. Step 5: Solve for x
    x = 481,498,597,801/461,710
  6. Step 6: Final answer
    x = 1,042,859.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.