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Finding the Third Proportional to 349,923 and 524,790

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Solution

The third proportional to 349,923 and 524,790 is: 787,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,923 : 524,790 = 524,790 : x
  2. Step 2: Convert to fraction form
    349,923/524,790 = 524,790/x
  3. Step 3: Cross multiply
    349,923x = 524,790 × 524,790
  4. Step 4: Simplify right side
    349,923x = 275,404,544,100
  5. Step 5: Solve for x
    x = 275,404,544,100/349,923
  6. Step 6: Final answer
    x = 787,043.28

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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.