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Finding the Third Proportional to 349,188 and 523,206

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Solution

The third proportional to 349,188 and 523,206 is: 783,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,188 : 523,206 = 523,206 : x
  2. Step 2: Convert to fraction form
    349,188/523,206 = 523,206/x
  3. Step 3: Cross multiply
    349,188x = 523,206 × 523,206
  4. Step 4: Simplify right side
    349,188x = 273,744,518,436
  5. Step 5: Solve for x
    x = 273,744,518,436/349,188
  6. Step 6: Final answer
    x = 783,945.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.