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Finding the Third Proportional to 366,956 and 759,083

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Solution

The third proportional to 366,956 and 759,083 is: 1,570,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,956 : 759,083 = 759,083 : x
  2. Step 2: Convert to fraction form
    366,956/759,083 = 759,083/x
  3. Step 3: Cross multiply
    366,956x = 759,083 × 759,083
  4. Step 4: Simplify right side
    366,956x = 576,207,000,889
  5. Step 5: Solve for x
    x = 576,207,000,889/366,956
  6. Step 6: Final answer
    x = 1,570,234.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.