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Finding the Third Proportional to 493,112 and 668,226

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Solution

The third proportional to 493,112 and 668,226 is: 905,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,112 : 668,226 = 668,226 : x
  2. Step 2: Convert to fraction form
    493,112/668,226 = 668,226/x
  3. Step 3: Cross multiply
    493,112x = 668,226 × 668,226
  4. Step 4: Simplify right side
    493,112x = 446,525,987,076
  5. Step 5: Solve for x
    x = 446,525,987,076/493,112
  6. Step 6: Final answer
    x = 905,526.51

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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.