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Finding the Third Proportional to 250,796 and 542,497

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Solution

The third proportional to 250,796 and 542,497 is: 1,173,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,796 : 542,497 = 542,497 : x
  2. Step 2: Convert to fraction form
    250,796/542,497 = 542,497/x
  3. Step 3: Cross multiply
    250,796x = 542,497 × 542,497
  4. Step 4: Simplify right side
    250,796x = 294,302,995,009
  5. Step 5: Solve for x
    x = 294,302,995,009/250,796
  6. Step 6: Final answer
    x = 1,173,475.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.