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Finding the Third Proportional to 550,404 and 842,015.25

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Solution

The third proportional to 550,404 and 842,015.25 is: 1,288,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,404 : 842,015.25 = 842,015.25 : x
  2. Step 2: Convert to fraction form
    550,404/842,015.25 = 842,015.25/x
  3. Step 3: Cross multiply
    550,404x = 842,015.25 × 842,015.25
  4. Step 4: Simplify right side
    550,404x = 708,989,681,232.56
  5. Step 5: Solve for x
    x = 708,989,681,232.56/550,404
  6. Step 6: Final answer
    x = 1,288,125.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.