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Finding the Third Proportional to 232,952 and 505,456

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Solution

The third proportional to 232,952 and 505,456 is: 1,096,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,952 : 505,456 = 505,456 : x
  2. Step 2: Convert to fraction form
    232,952/505,456 = 505,456/x
  3. Step 3: Cross multiply
    232,952x = 505,456 × 505,456
  4. Step 4: Simplify right side
    232,952x = 255,485,767,936
  5. Step 5: Solve for x
    x = 255,485,767,936/232,952
  6. Step 6: Final answer
    x = 1,096,731.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.