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Finding the Third Proportional to 241,374.94 and 524,773.69

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Solution

The third proportional to 241,374.94 and 524,773.69 is: 1,140,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,374.94 : 524,773.69 = 524,773.69 : x
  2. Step 2: Convert to fraction form
    241,374.94/524,773.69 = 524,773.69/x
  3. Step 3: Cross multiply
    241,374.94x = 524,773.69 × 524,773.69
  4. Step 4: Simplify right side
    241,374.94x = 275,387,423,092.35
  5. Step 5: Solve for x
    x = 275,387,423,092.35/241,374.94
  6. Step 6: Final answer
    x = 1,140,911.42

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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.