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Finding the Third Proportional to 467,228.25 and 731,956.50

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Solution

The third proportional to 467,228.25 and 731,956.50 is: 1,146,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,228.25 : 731,956.50 = 731,956.50 : x
  2. Step 2: Convert to fraction form
    467,228.25/731,956.50 = 731,956.50/x
  3. Step 3: Cross multiply
    467,228.25x = 731,956.50 × 731,956.50
  4. Step 4: Simplify right side
    467,228.25x = 535,760,317,892.25
  5. Step 5: Solve for x
    x = 535,760,317,892.25/467,228.25
  6. Step 6: Final answer
    x = 1,146,677.92

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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.