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Finding the Third Proportional to 352,898 and 769,240

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Solution

The third proportional to 352,898 and 769,240 is: 1,676,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,898 : 769,240 = 769,240 : x
  2. Step 2: Convert to fraction form
    352,898/769,240 = 769,240/x
  3. Step 3: Cross multiply
    352,898x = 769,240 × 769,240
  4. Step 4: Simplify right side
    352,898x = 591,730,177,600
  5. Step 5: Solve for x
    x = 591,730,177,600/352,898
  6. Step 6: Final answer
    x = 1,676,773.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.