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Finding the Third Proportional to 339,232 and 538,816

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Solution

The third proportional to 339,232 and 538,816 is: 855,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,232 : 538,816 = 538,816 : x
  2. Step 2: Convert to fraction form
    339,232/538,816 = 538,816/x
  3. Step 3: Cross multiply
    339,232x = 538,816 × 538,816
  4. Step 4: Simplify right side
    339,232x = 290,322,681,856
  5. Step 5: Solve for x
    x = 290,322,681,856/339,232
  6. Step 6: Final answer
    x = 855,823.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.