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Finding the Third Proportional to 340,424 and 538,796

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Solution

The third proportional to 340,424 and 538,796 is: 852,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,424 : 538,796 = 538,796 : x
  2. Step 2: Convert to fraction form
    340,424/538,796 = 538,796/x
  3. Step 3: Cross multiply
    340,424x = 538,796 × 538,796
  4. Step 4: Simplify right side
    340,424x = 290,301,129,616
  5. Step 5: Solve for x
    x = 290,301,129,616/340,424
  6. Step 6: Final answer
    x = 852,763.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.