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Finding the Third Proportional to 467,226 and 731,981

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Solution

The third proportional to 467,226 and 731,981 is: 1,146,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,226 : 731,981 = 731,981 : x
  2. Step 2: Convert to fraction form
    467,226/731,981 = 731,981/x
  3. Step 3: Cross multiply
    467,226x = 731,981 × 731,981
  4. Step 4: Simplify right side
    467,226x = 535,796,184,361
  5. Step 5: Solve for x
    x = 535,796,184,361/467,226
  6. Step 6: Final answer
    x = 1,146,760.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.