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Finding the Third Proportional to 232,012 and 505,928

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Solution

The third proportional to 232,012 and 505,928 is: 1,103,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,012 : 505,928 = 505,928 : x
  2. Step 2: Convert to fraction form
    232,012/505,928 = 505,928/x
  3. Step 3: Cross multiply
    232,012x = 505,928 × 505,928
  4. Step 4: Simplify right side
    232,012x = 255,963,141,184
  5. Step 5: Solve for x
    x = 255,963,141,184/232,012
  6. Step 6: Final answer
    x = 1,103,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.