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Finding the Third Proportional to 493,114 and 668,229

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Solution

The third proportional to 493,114 and 668,229 is: 905,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,114 : 668,229 = 668,229 : x
  2. Step 2: Convert to fraction form
    493,114/668,229 = 668,229/x
  3. Step 3: Cross multiply
    493,114x = 668,229 × 668,229
  4. Step 4: Simplify right side
    493,114x = 446,529,996,441
  5. Step 5: Solve for x
    x = 446,529,996,441/493,114
  6. Step 6: Final answer
    x = 905,530.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.