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Finding the Third Proportional to 401,919 and 545,818.50

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Solution

The third proportional to 401,919 and 545,818.50 is: 741,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,919 : 545,818.50 = 545,818.50 : x
  2. Step 2: Convert to fraction form
    401,919/545,818.50 = 545,818.50/x
  3. Step 3: Cross multiply
    401,919x = 545,818.50 × 545,818.50
  4. Step 4: Simplify right side
    401,919x = 297,917,834,942.25
  5. Step 5: Solve for x
    x = 297,917,834,942.25/401,919
  6. Step 6: Final answer
    x = 741,238.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.