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Finding the Third Proportional to 241,468.50 and 524,607

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Solution

The third proportional to 241,468.50 and 524,607 is: 1,139,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,468.50 : 524,607 = 524,607 : x
  2. Step 2: Convert to fraction form
    241,468.50/524,607 = 524,607/x
  3. Step 3: Cross multiply
    241,468.50x = 524,607 × 524,607
  4. Step 4: Simplify right side
    241,468.50x = 275,212,504,449
  5. Step 5: Solve for x
    x = 275,212,504,449/241,468.50
  6. Step 6: Final answer
    x = 1,139,744.95

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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.