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Finding the Third Proportional to 241,914 and 512,668

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Solution

The third proportional to 241,914 and 512,668 is: 1,086,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,914 : 512,668 = 512,668 : x
  2. Step 2: Convert to fraction form
    241,914/512,668 = 512,668/x
  3. Step 3: Cross multiply
    241,914x = 512,668 × 512,668
  4. Step 4: Simplify right side
    241,914x = 262,828,478,224
  5. Step 5: Solve for x
    x = 262,828,478,224/241,914
  6. Step 6: Final answer
    x = 1,086,454.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.