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Finding the Third Proportional to 241,048 and 524,972

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Solution

The third proportional to 241,048 and 524,972 is: 1,143,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,048 : 524,972 = 524,972 : x
  2. Step 2: Convert to fraction form
    241,048/524,972 = 524,972/x
  3. Step 3: Cross multiply
    241,048x = 524,972 × 524,972
  4. Step 4: Simplify right side
    241,048x = 275,595,600,784
  5. Step 5: Solve for x
    x = 275,595,600,784/241,048
  6. Step 6: Final answer
    x = 1,143,322.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.