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Finding the Third Proportional to 519,242 and 758,439

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Solution

The third proportional to 519,242 and 758,439 is: 1,107,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,242 : 758,439 = 758,439 : x
  2. Step 2: Convert to fraction form
    519,242/758,439 = 758,439/x
  3. Step 3: Cross multiply
    519,242x = 758,439 × 758,439
  4. Step 4: Simplify right side
    519,242x = 575,229,716,721
  5. Step 5: Solve for x
    x = 575,229,716,721/519,242
  6. Step 6: Final answer
    x = 1,107,825.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.