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Finding the Third Proportional to 349,884 and 548,208

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Solution

The third proportional to 349,884 and 548,208 is: 858,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,884 : 548,208 = 548,208 : x
  2. Step 2: Convert to fraction form
    349,884/548,208 = 548,208/x
  3. Step 3: Cross multiply
    349,884x = 548,208 × 548,208
  4. Step 4: Simplify right side
    349,884x = 300,532,011,264
  5. Step 5: Solve for x
    x = 300,532,011,264/349,884
  6. Step 6: Final answer
    x = 858,947.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.