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Finding the Third Proportional to 347,355 and 519,573

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Solution

The third proportional to 347,355 and 519,573 is: 777,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,355 : 519,573 = 519,573 : x
  2. Step 2: Convert to fraction form
    347,355/519,573 = 519,573/x
  3. Step 3: Cross multiply
    347,355x = 519,573 × 519,573
  4. Step 4: Simplify right side
    347,355x = 269,956,102,329
  5. Step 5: Solve for x
    x = 269,956,102,329/347,355
  6. Step 6: Final answer
    x = 777,176.38

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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.