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Finding the Third Proportional to 235,442 and 501,232

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Solution

The third proportional to 235,442 and 501,232 is: 1,067,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,442 : 501,232 = 501,232 : x
  2. Step 2: Convert to fraction form
    235,442/501,232 = 501,232/x
  3. Step 3: Cross multiply
    235,442x = 501,232 × 501,232
  4. Step 4: Simplify right side
    235,442x = 251,233,517,824
  5. Step 5: Solve for x
    x = 251,233,517,824/235,442
  6. Step 6: Final answer
    x = 1,067,071.80

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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.