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Finding the Third Proportional to 232,716 and 501,054

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Solution

The third proportional to 232,716 and 501,054 is: 1,078,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716 : 501,054 = 501,054 : x
  2. Step 2: Convert to fraction form
    232,716/501,054 = 501,054/x
  3. Step 3: Cross multiply
    232,716x = 501,054 × 501,054
  4. Step 4: Simplify right side
    232,716x = 251,055,110,916
  5. Step 5: Solve for x
    x = 251,055,110,916/232,716
  6. Step 6: Final answer
    x = 1,078,804.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.