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Finding the Third Proportional to 428,156 and 666,741

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Solution

The third proportional to 428,156 and 666,741 is: 1,038,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,156 : 666,741 = 666,741 : x
  2. Step 2: Convert to fraction form
    428,156/666,741 = 666,741/x
  3. Step 3: Cross multiply
    428,156x = 666,741 × 666,741
  4. Step 4: Simplify right side
    428,156x = 444,543,561,081
  5. Step 5: Solve for x
    x = 444,543,561,081/428,156
  6. Step 6: Final answer
    x = 1,038,274.74

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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.