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Finding the Third Proportional to 262,384 and 562,992

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Solution

The third proportional to 262,384 and 562,992 is: 1,208,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,384 : 562,992 = 562,992 : x
  2. Step 2: Convert to fraction form
    262,384/562,992 = 562,992/x
  3. Step 3: Cross multiply
    262,384x = 562,992 × 562,992
  4. Step 4: Simplify right side
    262,384x = 316,959,992,064
  5. Step 5: Solve for x
    x = 316,959,992,064/262,384
  6. Step 6: Final answer
    x = 1,208,000.46

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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.