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Finding the Third Proportional to 234,127 and 505,694

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Solution

The third proportional to 234,127 and 505,694 is: 1,092,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,127 : 505,694 = 505,694 : x
  2. Step 2: Convert to fraction form
    234,127/505,694 = 505,694/x
  3. Step 3: Cross multiply
    234,127x = 505,694 × 505,694
  4. Step 4: Simplify right side
    234,127x = 255,726,421,636
  5. Step 5: Solve for x
    x = 255,726,421,636/234,127
  6. Step 6: Final answer
    x = 1,092,255.15

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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.