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Finding the Third Proportional to 301,466 and 662,116

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Solution

The third proportional to 301,466 and 662,116 is: 1,454,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466 : 662,116 = 662,116 : x
  2. Step 2: Convert to fraction form
    301,466/662,116 = 662,116/x
  3. Step 3: Cross multiply
    301,466x = 662,116 × 662,116
  4. Step 4: Simplify right side
    301,466x = 438,397,597,456
  5. Step 5: Solve for x
    x = 438,397,597,456/301,466
  6. Step 6: Final answer
    x = 1,454,219.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.