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Finding the Third Proportional to 352,568 and 761,238

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Solution

The third proportional to 352,568 and 761,238 is: 1,643,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,568 : 761,238 = 761,238 : x
  2. Step 2: Convert to fraction form
    352,568/761,238 = 761,238/x
  3. Step 3: Cross multiply
    352,568x = 761,238 × 761,238
  4. Step 4: Simplify right side
    352,568x = 579,483,292,644
  5. Step 5: Solve for x
    x = 579,483,292,644/352,568
  6. Step 6: Final answer
    x = 1,643,607.17

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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.