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Finding the Third Proportional to 241,536.94 and 524,566.13

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Solution

The third proportional to 241,536.94 and 524,566.13 is: 1,139,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,536.94 : 524,566.13 = 524,566.13 : x
  2. Step 2: Convert to fraction form
    241,536.94/524,566.13 = 524,566.13/x
  3. Step 3: Cross multiply
    241,536.94x = 524,566.13 × 524,566.13
  4. Step 4: Simplify right side
    241,536.94x = 275,169,619,497.52
  5. Step 5: Solve for x
    x = 275,169,619,497.52/241,536.94
  6. Step 6: Final answer
    x = 1,139,244.47

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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.