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Finding the Third Proportional to 303,435 and 662,166

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Solution

The third proportional to 303,435 and 662,166 is: 1,445,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,435 : 662,166 = 662,166 : x
  2. Step 2: Convert to fraction form
    303,435/662,166 = 662,166/x
  3. Step 3: Cross multiply
    303,435x = 662,166 × 662,166
  4. Step 4: Simplify right side
    303,435x = 438,463,811,556
  5. Step 5: Solve for x
    x = 438,463,811,556/303,435
  6. Step 6: Final answer
    x = 1,445,000.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.