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Finding the Third Proportional to 262,376 and 562,976

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Solution

The third proportional to 262,376 and 562,976 is: 1,207,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,376 : 562,976 = 562,976 : x
  2. Step 2: Convert to fraction form
    262,376/562,976 = 562,976/x
  3. Step 3: Cross multiply
    262,376x = 562,976 × 562,976
  4. Step 4: Simplify right side
    262,376x = 316,941,976,576
  5. Step 5: Solve for x
    x = 316,941,976,576/262,376
  6. Step 6: Final answer
    x = 1,207,968.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.