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Finding the Third Proportional to 253,872 and 540,348

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Solution

The third proportional to 253,872 and 540,348 is: 1,150,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872 : 540,348 = 540,348 : x
  2. Step 2: Convert to fraction form
    253,872/540,348 = 540,348/x
  3. Step 3: Cross multiply
    253,872x = 540,348 × 540,348
  4. Step 4: Simplify right side
    253,872x = 291,975,961,104
  5. Step 5: Solve for x
    x = 291,975,961,104/253,872
  6. Step 6: Final answer
    x = 1,150,091.23

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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.