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Finding the Third Proportional to 241,553 and 524,727

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Solution

The third proportional to 241,553 and 524,727 is: 1,139,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,553 : 524,727 = 524,727 : x
  2. Step 2: Convert to fraction form
    241,553/524,727 = 524,727/x
  3. Step 3: Cross multiply
    241,553x = 524,727 × 524,727
  4. Step 4: Simplify right side
    241,553x = 275,338,424,529
  5. Step 5: Solve for x
    x = 275,338,424,529/241,553
  6. Step 6: Final answer
    x = 1,139,867.54

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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.