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Finding the Third Proportional to 274,937.20 and 575,012.67

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Solution

The third proportional to 274,937.20 and 575,012.67 is: 1,202,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,937.20 : 575,012.67 = 575,012.67 : x
  2. Step 2: Convert to fraction form
    274,937.20/575,012.67 = 575,012.67/x
  3. Step 3: Cross multiply
    274,937.20x = 575,012.67 × 575,012.67
  4. Step 4: Simplify right side
    274,937.20x = 330,639,572,816.83
  5. Step 5: Solve for x
    x = 330,639,572,816.83/274,937.20
  6. Step 6: Final answer
    x = 1,202,600.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.