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Finding the Third Proportional to 241,465.43 and 524,415.52

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Solution

The third proportional to 241,465.43 and 524,415.52 is: 1,138,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,465.43 : 524,415.52 = 524,415.52 : x
  2. Step 2: Convert to fraction form
    241,465.43/524,415.52 = 524,415.52/x
  3. Step 3: Cross multiply
    241,465.43x = 524,415.52 × 524,415.52
  4. Step 4: Simplify right side
    241,465.43x = 275,011,633,028.24
  5. Step 5: Solve for x
    x = 275,011,633,028.24/241,465.43
  6. Step 6: Final answer
    x = 1,138,927.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.