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Finding the Third Proportional to 238,622 and 514,609

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Solution

The third proportional to 238,622 and 514,609 is: 1,109,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,622 : 514,609 = 514,609 : x
  2. Step 2: Convert to fraction form
    238,622/514,609 = 514,609/x
  3. Step 3: Cross multiply
    238,622x = 514,609 × 514,609
  4. Step 4: Simplify right side
    238,622x = 264,822,422,881
  5. Step 5: Solve for x
    x = 264,822,422,881/238,622
  6. Step 6: Final answer
    x = 1,109,798.86

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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.