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Finding the Third Proportional to 474,002 and 670,696

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Solution

The third proportional to 474,002 and 670,696 is: 949,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,002 : 670,696 = 670,696 : x
  2. Step 2: Convert to fraction form
    474,002/670,696 = 670,696/x
  3. Step 3: Cross multiply
    474,002x = 670,696 × 670,696
  4. Step 4: Simplify right side
    474,002x = 449,833,124,416
  5. Step 5: Solve for x
    x = 449,833,124,416/474,002
  6. Step 6: Final answer
    x = 949,011.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.