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Finding the Third Proportional to 253,802 and 551,344

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Solution

The third proportional to 253,802 and 551,344 is: 1,197,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,802 : 551,344 = 551,344 : x
  2. Step 2: Convert to fraction form
    253,802/551,344 = 551,344/x
  3. Step 3: Cross multiply
    253,802x = 551,344 × 551,344
  4. Step 4: Simplify right side
    253,802x = 303,980,206,336
  5. Step 5: Solve for x
    x = 303,980,206,336/253,802
  6. Step 6: Final answer
    x = 1,197,706.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.