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Finding the Third Proportional to 232,958 and 510,016

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Solution

The third proportional to 232,958 and 510,016 is: 1,116,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,958 : 510,016 = 510,016 : x
  2. Step 2: Convert to fraction form
    232,958/510,016 = 510,016/x
  3. Step 3: Cross multiply
    232,958x = 510,016 × 510,016
  4. Step 4: Simplify right side
    232,958x = 260,116,320,256
  5. Step 5: Solve for x
    x = 260,116,320,256/232,958
  6. Step 6: Final answer
    x = 1,116,580.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.