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Finding the Third Proportional to 474,330 and 693,742

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Solution

The third proportional to 474,330 and 693,742 is: 1,014,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,330 : 693,742 = 693,742 : x
  2. Step 2: Convert to fraction form
    474,330/693,742 = 693,742/x
  3. Step 3: Cross multiply
    474,330x = 693,742 × 693,742
  4. Step 4: Simplify right side
    474,330x = 481,277,962,564
  5. Step 5: Solve for x
    x = 481,277,962,564/474,330
  6. Step 6: Final answer
    x = 1,014,647.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.