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Finding the Third Proportional to 252,968 and 538,707

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Solution

The third proportional to 252,968 and 538,707 is: 1,147,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,968 : 538,707 = 538,707 : x
  2. Step 2: Convert to fraction form
    252,968/538,707 = 538,707/x
  3. Step 3: Cross multiply
    252,968x = 538,707 × 538,707
  4. Step 4: Simplify right side
    252,968x = 290,205,231,849
  5. Step 5: Solve for x
    x = 290,205,231,849/252,968
  6. Step 6: Final answer
    x = 1,147,201.35

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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.