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Finding the Third Proportional to 233,906 and 505,228

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Solution

The third proportional to 233,906 and 505,228 is: 1,091,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,906 : 505,228 = 505,228 : x
  2. Step 2: Convert to fraction form
    233,906/505,228 = 505,228/x
  3. Step 3: Cross multiply
    233,906x = 505,228 × 505,228
  4. Step 4: Simplify right side
    233,906x = 255,255,331,984
  5. Step 5: Solve for x
    x = 255,255,331,984/233,906
  6. Step 6: Final answer
    x = 1,091,273.13

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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.