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Finding the Third Proportional to 447,001 and 674,602

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Solution

The third proportional to 447,001 and 674,602 is: 1,018,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,001 : 674,602 = 674,602 : x
  2. Step 2: Convert to fraction form
    447,001/674,602 = 674,602/x
  3. Step 3: Cross multiply
    447,001x = 674,602 × 674,602
  4. Step 4: Simplify right side
    447,001x = 455,087,858,404
  5. Step 5: Solve for x
    x = 455,087,858,404/447,001
  6. Step 6: Final answer
    x = 1,018,091.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.