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Finding the Third Proportional to 450,634 and 701,818

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Solution

The third proportional to 450,634 and 701,818 is: 1,093,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,634 : 701,818 = 701,818 : x
  2. Step 2: Convert to fraction form
    450,634/701,818 = 701,818/x
  3. Step 3: Cross multiply
    450,634x = 701,818 × 701,818
  4. Step 4: Simplify right side
    450,634x = 492,548,505,124
  5. Step 5: Solve for x
    x = 492,548,505,124/450,634
  6. Step 6: Final answer
    x = 1,093,012.30

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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.