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Finding the Third Proportional to 357,206 and 544,183

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Solution

The third proportional to 357,206 and 544,183 is: 829,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,206 : 544,183 = 544,183 : x
  2. Step 2: Convert to fraction form
    357,206/544,183 = 544,183/x
  3. Step 3: Cross multiply
    357,206x = 544,183 × 544,183
  4. Step 4: Simplify right side
    357,206x = 296,135,137,489
  5. Step 5: Solve for x
    x = 296,135,137,489/357,206
  6. Step 6: Final answer
    x = 829,031.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.