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Finding the Third Proportional to 253,228 and 591,598

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Solution

The third proportional to 253,228 and 591,598 is: 1,382,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,228 : 591,598 = 591,598 : x
  2. Step 2: Convert to fraction form
    253,228/591,598 = 591,598/x
  3. Step 3: Cross multiply
    253,228x = 591,598 × 591,598
  4. Step 4: Simplify right side
    253,228x = 349,988,193,604
  5. Step 5: Solve for x
    x = 349,988,193,604/253,228
  6. Step 6: Final answer
    x = 1,382,107.01

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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.