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Finding the Third Proportional to 354,735 and 755,469

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Solution

The third proportional to 354,735 and 755,469 is: 1,608,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,735 : 755,469 = 755,469 : x
  2. Step 2: Convert to fraction form
    354,735/755,469 = 755,469/x
  3. Step 3: Cross multiply
    354,735x = 755,469 × 755,469
  4. Step 4: Simplify right side
    354,735x = 570,733,409,961
  5. Step 5: Solve for x
    x = 570,733,409,961/354,735
  6. Step 6: Final answer
    x = 1,608,900.76

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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.