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Finding the Third Proportional to 454,602 and 681,903

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Solution

The third proportional to 454,602 and 681,903 is: 1,022,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,602 : 681,903 = 681,903 : x
  2. Step 2: Convert to fraction form
    454,602/681,903 = 681,903/x
  3. Step 3: Cross multiply
    454,602x = 681,903 × 681,903
  4. Step 4: Simplify right side
    454,602x = 464,991,701,409
  5. Step 5: Solve for x
    x = 464,991,701,409/454,602
  6. Step 6: Final answer
    x = 1,022,854.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.