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Finding the Third Proportional to 252,395 and 552,313

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Solution

The third proportional to 252,395 and 552,313 is: 1,208,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,395 : 552,313 = 552,313 : x
  2. Step 2: Convert to fraction form
    252,395/552,313 = 552,313/x
  3. Step 3: Cross multiply
    252,395x = 552,313 × 552,313
  4. Step 4: Simplify right side
    252,395x = 305,049,649,969
  5. Step 5: Solve for x
    x = 305,049,649,969/252,395
  6. Step 6: Final answer
    x = 1,208,620.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.