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Finding the Third Proportional to 241,449.75 and 524,565

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Solution

The third proportional to 241,449.75 and 524,565 is: 1,139,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,449.75 : 524,565 = 524,565 : x
  2. Step 2: Convert to fraction form
    241,449.75/524,565 = 524,565/x
  3. Step 3: Cross multiply
    241,449.75x = 524,565 × 524,565
  4. Step 4: Simplify right side
    241,449.75x = 275,168,439,225
  5. Step 5: Solve for x
    x = 275,168,439,225/241,449.75
  6. Step 6: Final answer
    x = 1,139,650.96

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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.