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Finding the Third Proportional to 252,262 and 538,796

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Solution

The third proportional to 252,262 and 538,796 is: 1,150,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,262 : 538,796 = 538,796 : x
  2. Step 2: Convert to fraction form
    252,262/538,796 = 538,796/x
  3. Step 3: Cross multiply
    252,262x = 538,796 × 538,796
  4. Step 4: Simplify right side
    252,262x = 290,301,129,616
  5. Step 5: Solve for x
    x = 290,301,129,616/252,262
  6. Step 6: Final answer
    x = 1,150,792.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.