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Finding the Third Proportional to 236,414.25 and 513,014.63

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Solution

The third proportional to 236,414.25 and 513,014.63 is: 1,113,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,414.25 : 513,014.63 = 513,014.63 : x
  2. Step 2: Convert to fraction form
    236,414.25/513,014.63 = 513,014.63/x
  3. Step 3: Cross multiply
    236,414.25x = 513,014.63 × 513,014.63
  4. Step 4: Simplify right side
    236,414.25x = 263,184,005,463.89
  5. Step 5: Solve for x
    x = 263,184,005,463.89/236,414.25
  6. Step 6: Final answer
    x = 1,113,232.41

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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.