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Finding the Third Proportional to 241,448 and 524,878

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Solution

The third proportional to 241,448 and 524,878 is: 1,141,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,448 : 524,878 = 524,878 : x
  2. Step 2: Convert to fraction form
    241,448/524,878 = 524,878/x
  3. Step 3: Cross multiply
    241,448x = 524,878 × 524,878
  4. Step 4: Simplify right side
    241,448x = 275,496,914,884
  5. Step 5: Solve for x
    x = 275,496,914,884/241,448
  6. Step 6: Final answer
    x = 1,141,019.66

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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.