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Finding the Third Proportional to 301,763 and 659,578

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Solution

The third proportional to 301,763 and 659,578 is: 1,441,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,763 : 659,578 = 659,578 : x
  2. Step 2: Convert to fraction form
    301,763/659,578 = 659,578/x
  3. Step 3: Cross multiply
    301,763x = 659,578 × 659,578
  4. Step 4: Simplify right side
    301,763x = 435,043,138,084
  5. Step 5: Solve for x
    x = 435,043,138,084/301,763
  6. Step 6: Final answer
    x = 1,441,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.