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Finding the Third Proportional to 241,389 and 513,963

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Solution

The third proportional to 241,389 and 513,963 is: 1,094,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,389 : 513,963 = 513,963 : x
  2. Step 2: Convert to fraction form
    241,389/513,963 = 513,963/x
  3. Step 3: Cross multiply
    241,389x = 513,963 × 513,963
  4. Step 4: Simplify right side
    241,389x = 264,157,965,369
  5. Step 5: Solve for x
    x = 264,157,965,369/241,389
  6. Step 6: Final answer
    x = 1,094,324.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.