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Finding the Third Proportional to 252,971 and 538,713

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Solution

The third proportional to 252,971 and 538,713 is: 1,147,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,971 : 538,713 = 538,713 : x
  2. Step 2: Convert to fraction form
    252,971/538,713 = 538,713/x
  3. Step 3: Cross multiply
    252,971x = 538,713 × 538,713
  4. Step 4: Simplify right side
    252,971x = 290,211,696,369
  5. Step 5: Solve for x
    x = 290,211,696,369/252,971
  6. Step 6: Final answer
    x = 1,147,213.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.