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Finding the Third Proportional to 352,132 and 759,019

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Solution

The third proportional to 352,132 and 759,019 is: 1,636,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,132 : 759,019 = 759,019 : x
  2. Step 2: Convert to fraction form
    352,132/759,019 = 759,019/x
  3. Step 3: Cross multiply
    352,132x = 759,019 × 759,019
  4. Step 4: Simplify right side
    352,132x = 576,109,842,361
  5. Step 5: Solve for x
    x = 576,109,842,361/352,132
  6. Step 6: Final answer
    x = 1,636,062.17

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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.