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Finding the Third Proportional to 351,469 and 749,558

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Solution

The third proportional to 351,469 and 749,558 is: 1,598,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,469 : 749,558 = 749,558 : x
  2. Step 2: Convert to fraction form
    351,469/749,558 = 749,558/x
  3. Step 3: Cross multiply
    351,469x = 749,558 × 749,558
  4. Step 4: Simplify right side
    351,469x = 561,837,195,364
  5. Step 5: Solve for x
    x = 561,837,195,364/351,469
  6. Step 6: Final answer
    x = 1,598,539.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.