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Finding the Third Proportional to 550,305.75 and 822,928.50

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Solution

The third proportional to 550,305.75 and 822,928.50 is: 1,230,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,305.75 : 822,928.50 = 822,928.50 : x
  2. Step 2: Convert to fraction form
    550,305.75/822,928.50 = 822,928.50/x
  3. Step 3: Cross multiply
    550,305.75x = 822,928.50 × 822,928.50
  4. Step 4: Simplify right side
    550,305.75x = 677,211,316,112.25
  5. Step 5: Solve for x
    x = 677,211,316,112.25/550,305.75
  6. Step 6: Final answer
    x = 1,230,609.20

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Why These Related Problems?

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