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Finding the Third Proportional to 253,229 and 591,599

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Solution

The third proportional to 253,229 and 591,599 is: 1,382,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229 : 591,599 = 591,599 : x
  2. Step 2: Convert to fraction form
    253,229/591,599 = 591,599/x
  3. Step 3: Cross multiply
    253,229x = 591,599 × 591,599
  4. Step 4: Simplify right side
    253,229x = 349,989,376,801
  5. Step 5: Solve for x
    x = 349,989,376,801/253,229
  6. Step 6: Final answer
    x = 1,382,106.22

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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.