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Finding the Third Proportional to 349,450 and 523,627

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Solution

The third proportional to 349,450 and 523,627 is: 784,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,450 : 523,627 = 523,627 : x
  2. Step 2: Convert to fraction form
    349,450/523,627 = 523,627/x
  3. Step 3: Cross multiply
    349,450x = 523,627 × 523,627
  4. Step 4: Simplify right side
    349,450x = 274,185,235,129
  5. Step 5: Solve for x
    x = 274,185,235,129/349,450
  6. Step 6: Final answer
    x = 784,619.36

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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.