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Finding the Third Proportional to 367,658 and 506,285

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Solution

The third proportional to 367,658 and 506,285 is: 697,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,658 : 506,285 = 506,285 : x
  2. Step 2: Convert to fraction form
    367,658/506,285 = 506,285/x
  3. Step 3: Cross multiply
    367,658x = 506,285 × 506,285
  4. Step 4: Simplify right side
    367,658x = 256,324,501,225
  5. Step 5: Solve for x
    x = 256,324,501,225/367,658
  6. Step 6: Final answer
    x = 697,181.90

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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.