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Finding the Third Proportional to 306,794 and 662,932

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Solution

The third proportional to 306,794 and 662,932 is: 1,432,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,794 : 662,932 = 662,932 : x
  2. Step 2: Convert to fraction form
    306,794/662,932 = 662,932/x
  3. Step 3: Cross multiply
    306,794x = 662,932 × 662,932
  4. Step 4: Simplify right side
    306,794x = 439,478,836,624
  5. Step 5: Solve for x
    x = 439,478,836,624/306,794
  6. Step 6: Final answer
    x = 1,432,488.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.