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Finding the Third Proportional to 550,568 and 804,600

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Solution

The third proportional to 550,568 and 804,600 is: 1,175,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,568 : 804,600 = 804,600 : x
  2. Step 2: Convert to fraction form
    550,568/804,600 = 804,600/x
  3. Step 3: Cross multiply
    550,568x = 804,600 × 804,600
  4. Step 4: Simplify right side
    550,568x = 647,381,160,000
  5. Step 5: Solve for x
    x = 647,381,160,000/550,568
  6. Step 6: Final answer
    x = 1,175,842.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.