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Finding the Third Proportional to 367,660 and 506,288

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Solution

The third proportional to 367,660 and 506,288 is: 697,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,660 : 506,288 = 506,288 : x
  2. Step 2: Convert to fraction form
    367,660/506,288 = 506,288/x
  3. Step 3: Cross multiply
    367,660x = 506,288 × 506,288
  4. Step 4: Simplify right side
    367,660x = 256,327,538,944
  5. Step 5: Solve for x
    x = 256,327,538,944/367,660
  6. Step 6: Final answer
    x = 697,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.