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Finding the Third Proportional to 262,122 and 562,476

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Solution

The third proportional to 262,122 and 562,476 is: 1,206,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,122 : 562,476 = 562,476 : x
  2. Step 2: Convert to fraction form
    262,122/562,476 = 562,476/x
  3. Step 3: Cross multiply
    262,122x = 562,476 × 562,476
  4. Step 4: Simplify right side
    262,122x = 316,379,250,576
  5. Step 5: Solve for x
    x = 316,379,250,576/262,122
  6. Step 6: Final answer
    x = 1,206,992.36

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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.