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Finding the Third Proportional to 236,494 and 512,300

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Solution

The third proportional to 236,494 and 512,300 is: 1,109,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,494 : 512,300 = 512,300 : x
  2. Step 2: Convert to fraction form
    236,494/512,300 = 512,300/x
  3. Step 3: Cross multiply
    236,494x = 512,300 × 512,300
  4. Step 4: Simplify right side
    236,494x = 262,451,290,000
  5. Step 5: Solve for x
    x = 262,451,290,000/236,494
  6. Step 6: Final answer
    x = 1,109,758.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.