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Finding the Third Proportional to 349,793 and 513,201

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Solution

The third proportional to 349,793 and 513,201 is: 752,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,793 : 513,201 = 513,201 : x
  2. Step 2: Convert to fraction form
    349,793/513,201 = 513,201/x
  3. Step 3: Cross multiply
    349,793x = 513,201 × 513,201
  4. Step 4: Simplify right side
    349,793x = 263,375,266,401
  5. Step 5: Solve for x
    x = 263,375,266,401/349,793
  6. Step 6: Final answer
    x = 752,946.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.