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Finding the Third Proportional to 478,746.50 and 728,067

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Solution

The third proportional to 478,746.50 and 728,067 is: 1,107,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,746.50 : 728,067 = 728,067 : x
  2. Step 2: Convert to fraction form
    478,746.50/728,067 = 728,067/x
  3. Step 3: Cross multiply
    478,746.50x = 728,067 × 728,067
  4. Step 4: Simplify right side
    478,746.50x = 530,081,556,489
  5. Step 5: Solve for x
    x = 530,081,556,489/478,746.50
  6. Step 6: Final answer
    x = 1,107,228.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.