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Finding the Third Proportional to 239,714 and 526,084

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Solution

The third proportional to 239,714 and 526,084 is: 1,154,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,714 : 526,084 = 526,084 : x
  2. Step 2: Convert to fraction form
    239,714/526,084 = 526,084/x
  3. Step 3: Cross multiply
    239,714x = 526,084 × 526,084
  4. Step 4: Simplify right side
    239,714x = 276,764,375,056
  5. Step 5: Solve for x
    x = 276,764,375,056/239,714
  6. Step 6: Final answer
    x = 1,154,560.75

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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.