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Finding the Third Proportional to 354,636 and 759,096

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Solution

The third proportional to 354,636 and 759,096 is: 1,624,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,636 : 759,096 = 759,096 : x
  2. Step 2: Convert to fraction form
    354,636/759,096 = 759,096/x
  3. Step 3: Cross multiply
    354,636x = 759,096 × 759,096
  4. Step 4: Simplify right side
    354,636x = 576,226,737,216
  5. Step 5: Solve for x
    x = 576,226,737,216/354,636
  6. Step 6: Final answer
    x = 1,624,839.94

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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.