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Finding the Third Proportional to 550,413 and 823,060.50

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Solution

The third proportional to 550,413 and 823,060.50 is: 1,230,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,413 : 823,060.50 = 823,060.50 : x
  2. Step 2: Convert to fraction form
    550,413/823,060.50 = 823,060.50/x
  3. Step 3: Cross multiply
    550,413x = 823,060.50 × 823,060.50
  4. Step 4: Simplify right side
    550,413x = 677,428,586,660.25
  5. Step 5: Solve for x
    x = 677,428,586,660.25/550,413
  6. Step 6: Final answer
    x = 1,230,764.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.