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Finding the Third Proportional to 352,136 and 759,027

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Solution

The third proportional to 352,136 and 759,027 is: 1,636,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,136 : 759,027 = 759,027 : x
  2. Step 2: Convert to fraction form
    352,136/759,027 = 759,027/x
  3. Step 3: Cross multiply
    352,136x = 759,027 × 759,027
  4. Step 4: Simplify right side
    352,136x = 576,121,986,729
  5. Step 5: Solve for x
    x = 576,121,986,729/352,136
  6. Step 6: Final answer
    x = 1,636,078.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.