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Finding the Third Proportional to 467,190.28 and 731,923.59

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Solution

The third proportional to 467,190.28 and 731,923.59 is: 1,146,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,190.28 : 731,923.59 = 731,923.59 : x
  2. Step 2: Convert to fraction form
    467,190.28/731,923.59 = 731,923.59/x
  3. Step 3: Cross multiply
    467,190.28x = 731,923.59 × 731,923.59
  4. Step 4: Simplify right side
    467,190.28x = 535,712,147,087.92
  5. Step 5: Solve for x
    x = 535,712,147,087.92/467,190.28
  6. Step 6: Final answer
    x = 1,146,668.00

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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.