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Finding the Third Proportional to 240,399 and 512,963

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Solution

The third proportional to 240,399 and 512,963 is: 1,094,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,399 : 512,963 = 512,963 : x
  2. Step 2: Convert to fraction form
    240,399/512,963 = 512,963/x
  3. Step 3: Cross multiply
    240,399x = 512,963 × 512,963
  4. Step 4: Simplify right side
    240,399x = 263,131,039,369
  5. Step 5: Solve for x
    x = 263,131,039,369/240,399
  6. Step 6: Final answer
    x = 1,094,559.63

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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.