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Finding the Third Proportional to 238,603 and 514,568

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Solution

The third proportional to 238,603 and 514,568 is: 1,109,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,603 : 514,568 = 514,568 : x
  2. Step 2: Convert to fraction form
    238,603/514,568 = 514,568/x
  3. Step 3: Cross multiply
    238,603x = 514,568 × 514,568
  4. Step 4: Simplify right side
    238,603x = 264,780,226,624
  5. Step 5: Solve for x
    x = 264,780,226,624/238,603
  6. Step 6: Final answer
    x = 1,109,710.38

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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.