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Finding the Third Proportional to 291,630.56 and 606,540.56

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Solution

The third proportional to 291,630.56 and 606,540.56 is: 1,261,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630.56 : 606,540.56 = 606,540.56 : x
  2. Step 2: Convert to fraction form
    291,630.56/606,540.56 = 606,540.56/x
  3. Step 3: Cross multiply
    291,630.56x = 606,540.56 × 606,540.56
  4. Step 4: Simplify right side
    291,630.56x = 367,891,453,957.82
  5. Step 5: Solve for x
    x = 367,891,453,957.82/291,630.56
  6. Step 6: Final answer
    x = 1,261,498.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.