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Finding the Third Proportional to 428,166 and 666,760

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Solution

The third proportional to 428,166 and 666,760 is: 1,038,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,166 : 666,760 = 666,760 : x
  2. Step 2: Convert to fraction form
    428,166/666,760 = 666,760/x
  3. Step 3: Cross multiply
    428,166x = 666,760 × 666,760
  4. Step 4: Simplify right side
    428,166x = 444,568,897,600
  5. Step 5: Solve for x
    x = 444,568,897,600/428,166
  6. Step 6: Final answer
    x = 1,038,309.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.