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Finding the Third Proportional to 516,600 and 694,224

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Solution

The third proportional to 516,600 and 694,224 is: 932,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,600 : 694,224 = 694,224 : x
  2. Step 2: Convert to fraction form
    516,600/694,224 = 694,224/x
  3. Step 3: Cross multiply
    516,600x = 694,224 × 694,224
  4. Step 4: Simplify right side
    516,600x = 481,946,962,176
  5. Step 5: Solve for x
    x = 481,946,962,176/516,600
  6. Step 6: Final answer
    x = 932,920.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.