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Finding the Third Proportional to 253,238 and 591,623

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Solution

The third proportional to 253,238 and 591,623 is: 1,382,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,238 : 591,623 = 591,623 : x
  2. Step 2: Convert to fraction form
    253,238/591,623 = 591,623/x
  3. Step 3: Cross multiply
    253,238x = 591,623 × 591,623
  4. Step 4: Simplify right side
    253,238x = 350,017,774,129
  5. Step 5: Solve for x
    x = 350,017,774,129/253,238
  6. Step 6: Final answer
    x = 1,382,169.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.