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Finding the Third Proportional to 236,464 and 513,116

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Solution

The third proportional to 236,464 and 513,116 is: 1,113,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464 : 513,116 = 513,116 : x
  2. Step 2: Convert to fraction form
    236,464/513,116 = 513,116/x
  3. Step 3: Cross multiply
    236,464x = 513,116 × 513,116
  4. Step 4: Simplify right side
    236,464x = 263,288,029,456
  5. Step 5: Solve for x
    x = 263,288,029,456/236,464
  6. Step 6: Final answer
    x = 1,113,438.11

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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.