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Finding the Third Proportional to 238,608 and 514,578

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Solution

The third proportional to 238,608 and 514,578 is: 1,109,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,608 : 514,578 = 514,578 : x
  2. Step 2: Convert to fraction form
    238,608/514,578 = 514,578/x
  3. Step 3: Cross multiply
    238,608x = 514,578 × 514,578
  4. Step 4: Simplify right side
    238,608x = 264,790,518,084
  5. Step 5: Solve for x
    x = 264,790,518,084/238,608
  6. Step 6: Final answer
    x = 1,109,730.26

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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.