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Finding the Third Proportional to 450,906.75 and 699,141

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Solution

The third proportional to 450,906.75 and 699,141 is: 1,084,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,906.75 : 699,141 = 699,141 : x
  2. Step 2: Convert to fraction form
    450,906.75/699,141 = 699,141/x
  3. Step 3: Cross multiply
    450,906.75x = 699,141 × 699,141
  4. Step 4: Simplify right side
    450,906.75x = 488,798,137,881
  5. Step 5: Solve for x
    x = 488,798,137,881/450,906.75
  6. Step 6: Final answer
    x = 1,084,033.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.