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Finding the Third Proportional to 233,417 and 509,238

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Solution

The third proportional to 233,417 and 509,238 is: 1,110,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,417 : 509,238 = 509,238 : x
  2. Step 2: Convert to fraction form
    233,417/509,238 = 509,238/x
  3. Step 3: Cross multiply
    233,417x = 509,238 × 509,238
  4. Step 4: Simplify right side
    233,417x = 259,323,340,644
  5. Step 5: Solve for x
    x = 259,323,340,644/233,417
  6. Step 6: Final answer
    x = 1,110,987.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.