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Finding the Third Proportional to 354,642 and 759,108

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Solution

The third proportional to 354,642 and 759,108 is: 1,624,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,642 : 759,108 = 759,108 : x
  2. Step 2: Convert to fraction form
    354,642/759,108 = 759,108/x
  3. Step 3: Cross multiply
    354,642x = 759,108 × 759,108
  4. Step 4: Simplify right side
    354,642x = 576,244,955,664
  5. Step 5: Solve for x
    x = 576,244,955,664/354,642
  6. Step 6: Final answer
    x = 1,624,863.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.