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Finding the Third Proportional to 241,359.75 and 460,809

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Solution

The third proportional to 241,359.75 and 460,809 is: 879,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,359.75 : 460,809 = 460,809 : x
  2. Step 2: Convert to fraction form
    241,359.75/460,809 = 460,809/x
  3. Step 3: Cross multiply
    241,359.75x = 460,809 × 460,809
  4. Step 4: Simplify right side
    241,359.75x = 212,344,934,481
  5. Step 5: Solve for x
    x = 212,344,934,481/241,359.75
  6. Step 6: Final answer
    x = 879,786.02

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.