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Finding the Third Proportional to 234,232 and 513,992

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Solution

The third proportional to 234,232 and 513,992 is: 1,127,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,232 : 513,992 = 513,992 : x
  2. Step 2: Convert to fraction form
    234,232/513,992 = 513,992/x
  3. Step 3: Cross multiply
    234,232x = 513,992 × 513,992
  4. Step 4: Simplify right side
    234,232x = 264,187,776,064
  5. Step 5: Solve for x
    x = 264,187,776,064/234,232
  6. Step 6: Final answer
    x = 1,127,889.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.