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Finding the Third Proportional to 241,539 and 524,590.50

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Solution

The third proportional to 241,539 and 524,590.50 is: 1,139,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,539 : 524,590.50 = 524,590.50 : x
  2. Step 2: Convert to fraction form
    241,539/524,590.50 = 524,590.50/x
  3. Step 3: Cross multiply
    241,539x = 524,590.50 × 524,590.50
  4. Step 4: Simplify right side
    241,539x = 275,195,192,690.25
  5. Step 5: Solve for x
    x = 275,195,192,690.25/241,539
  6. Step 6: Final answer
    x = 1,139,340.61

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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.