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Finding the Third Proportional to 467,138.07 and 731,833.42

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Solution

The third proportional to 467,138.07 and 731,833.42 is: 1,146,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,138.07 : 731,833.42 = 731,833.42 : x
  2. Step 2: Convert to fraction form
    467,138.07/731,833.42 = 731,833.42/x
  3. Step 3: Cross multiply
    467,138.07x = 731,833.42 × 731,833.42
  4. Step 4: Simplify right side
    467,138.07x = 535,580,151,655.82
  5. Step 5: Solve for x
    x = 535,580,151,655.82/467,138.07
  6. Step 6: Final answer
    x = 1,146,513.59

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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.