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Finding the Third Proportional to 253,968 and 541,688

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Solution

The third proportional to 253,968 and 541,688 is: 1,155,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,968 : 541,688 = 541,688 : x
  2. Step 2: Convert to fraction form
    253,968/541,688 = 541,688/x
  3. Step 3: Cross multiply
    253,968x = 541,688 × 541,688
  4. Step 4: Simplify right side
    253,968x = 293,425,889,344
  5. Step 5: Solve for x
    x = 293,425,889,344/253,968
  6. Step 6: Final answer
    x = 1,155,365.59

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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.