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Finding the Third Proportional to 232,963 and 504,009

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Solution

The third proportional to 232,963 and 504,009 is: 1,090,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,963 : 504,009 = 504,009 : x
  2. Step 2: Convert to fraction form
    232,963/504,009 = 504,009/x
  3. Step 3: Cross multiply
    232,963x = 504,009 × 504,009
  4. Step 4: Simplify right side
    232,963x = 254,025,072,081
  5. Step 5: Solve for x
    x = 254,025,072,081/232,963
  6. Step 6: Final answer
    x = 1,090,409.52

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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.