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Finding the Third Proportional to 349,186 and 523,203

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Solution

The third proportional to 349,186 and 523,203 is: 783,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,186 : 523,203 = 523,203 : x
  2. Step 2: Convert to fraction form
    349,186/523,203 = 523,203/x
  3. Step 3: Cross multiply
    349,186x = 523,203 × 523,203
  4. Step 4: Simplify right side
    349,186x = 273,741,379,209
  5. Step 5: Solve for x
    x = 273,741,379,209/349,186
  6. Step 6: Final answer
    x = 783,941.45

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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.