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Finding the Third Proportional to 550,444.50 and 823,099.50

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Solution

The third proportional to 550,444.50 and 823,099.50 is: 1,230,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,444.50 : 823,099.50 = 823,099.50 : x
  2. Step 2: Convert to fraction form
    550,444.50/823,099.50 = 823,099.50/x
  3. Step 3: Cross multiply
    550,444.50x = 823,099.50 × 823,099.50
  4. Step 4: Simplify right side
    550,444.50x = 677,492,786,900.25
  5. Step 5: Solve for x
    x = 677,492,786,900.25/550,444.50
  6. Step 6: Final answer
    x = 1,230,810.35

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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.