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Finding the Third Proportional to 240,393 and 512,964

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Solution

The third proportional to 240,393 and 512,964 is: 1,094,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,393 : 512,964 = 512,964 : x
  2. Step 2: Convert to fraction form
    240,393/512,964 = 512,964/x
  3. Step 3: Cross multiply
    240,393x = 512,964 × 512,964
  4. Step 4: Simplify right side
    240,393x = 263,132,065,296
  5. Step 5: Solve for x
    x = 263,132,065,296/240,393
  6. Step 6: Final answer
    x = 1,094,591.21

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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.