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Finding the Third Proportional to 349,747 and 524,626

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Solution

The third proportional to 349,747 and 524,626 is: 786,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,747 : 524,626 = 524,626 : x
  2. Step 2: Convert to fraction form
    349,747/524,626 = 524,626/x
  3. Step 3: Cross multiply
    349,747x = 524,626 × 524,626
  4. Step 4: Simplify right side
    349,747x = 275,232,439,876
  5. Step 5: Solve for x
    x = 275,232,439,876/349,747
  6. Step 6: Final answer
    x = 786,947.25

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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.