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Finding the Third Proportional to 237,249.56 and 512,384.06

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Solution

The third proportional to 237,249.56 and 512,384.06 is: 1,106,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,249.56 : 512,384.06 = 512,384.06 : x
  2. Step 2: Convert to fraction form
    237,249.56/512,384.06 = 512,384.06/x
  3. Step 3: Cross multiply
    237,249.56x = 512,384.06 × 512,384.06
  4. Step 4: Simplify right side
    237,249.56x = 262,537,427,504.00
  5. Step 5: Solve for x
    x = 262,537,427,504.00/237,249.56
  6. Step 6: Final answer
    x = 1,106,587.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.