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Finding the Third Proportional to 349,184 and 523,200

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Solution

The third proportional to 349,184 and 523,200 is: 783,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,184 : 523,200 = 523,200 : x
  2. Step 2: Convert to fraction form
    349,184/523,200 = 523,200/x
  3. Step 3: Cross multiply
    349,184x = 523,200 × 523,200
  4. Step 4: Simplify right side
    349,184x = 273,738,240,000
  5. Step 5: Solve for x
    x = 273,738,240,000/349,184
  6. Step 6: Final answer
    x = 783,936.95

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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.