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Finding the Third Proportional to 270,306.75 and 594,570.75

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Solution

The third proportional to 270,306.75 and 594,570.75 is: 1,307,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,306.75 : 594,570.75 = 594,570.75 : x
  2. Step 2: Convert to fraction form
    270,306.75/594,570.75 = 594,570.75/x
  3. Step 3: Cross multiply
    270,306.75x = 594,570.75 × 594,570.75
  4. Step 4: Simplify right side
    270,306.75x = 353,514,376,755.56
  5. Step 5: Solve for x
    x = 353,514,376,755.56/270,306.75
  6. Step 6: Final answer
    x = 1,307,826.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.