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Finding the Third Proportional to 467,743 and 753,293

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Solution

The third proportional to 467,743 and 753,293 is: 1,213,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,743 : 753,293 = 753,293 : x
  2. Step 2: Convert to fraction form
    467,743/753,293 = 753,293/x
  3. Step 3: Cross multiply
    467,743x = 753,293 × 753,293
  4. Step 4: Simplify right side
    467,743x = 567,450,343,849
  5. Step 5: Solve for x
    x = 567,450,343,849/467,743
  6. Step 6: Final answer
    x = 1,213,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.