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Finding the Third Proportional to 241,246.13 and 515,622.38

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Solution

The third proportional to 241,246.13 and 515,622.38 is: 1,102,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,246.13 : 515,622.38 = 515,622.38 : x
  2. Step 2: Convert to fraction form
    241,246.13/515,622.38 = 515,622.38/x
  3. Step 3: Cross multiply
    241,246.13x = 515,622.38 × 515,622.38
  4. Step 4: Simplify right side
    241,246.13x = 265,866,433,600.64
  5. Step 5: Solve for x
    x = 265,866,433,600.64/241,246.13
  6. Step 6: Final answer
    x = 1,102,054.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.