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Finding the Third Proportional to 557,446.50 and 823,047.75

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Solution

The third proportional to 557,446.50 and 823,047.75 is: 1,215,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,446.50 : 823,047.75 = 823,047.75 : x
  2. Step 2: Convert to fraction form
    557,446.50/823,047.75 = 823,047.75/x
  3. Step 3: Cross multiply
    557,446.50x = 823,047.75 × 823,047.75
  4. Step 4: Simplify right side
    557,446.50x = 677,407,598,780.06
  5. Step 5: Solve for x
    x = 677,407,598,780.06/557,446.50
  6. Step 6: Final answer
    x = 1,215,197.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.