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Finding the Third Proportional to 322,002 and 693,306

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Solution

The third proportional to 322,002 and 693,306 is: 1,492,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,002 : 693,306 = 693,306 : x
  2. Step 2: Convert to fraction form
    322,002/693,306 = 693,306/x
  3. Step 3: Cross multiply
    322,002x = 693,306 × 693,306
  4. Step 4: Simplify right side
    322,002x = 480,673,209,636
  5. Step 5: Solve for x
    x = 480,673,209,636/322,002
  6. Step 6: Final answer
    x = 1,492,764.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.