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Finding the Third Proportional to 236,538 and 512,446.50

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Solution

The third proportional to 236,538 and 512,446.50 is: 1,110,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,538 : 512,446.50 = 512,446.50 : x
  2. Step 2: Convert to fraction form
    236,538/512,446.50 = 512,446.50/x
  3. Step 3: Cross multiply
    236,538x = 512,446.50 × 512,446.50
  4. Step 4: Simplify right side
    236,538x = 262,601,415,362.25
  5. Step 5: Solve for x
    x = 262,601,415,362.25/236,538
  6. Step 6: Final answer
    x = 1,110,187.01

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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.