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Finding the Third Proportional to 374,022 and 526,089

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Solution

The third proportional to 374,022 and 526,089 is: 739,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,022 : 526,089 = 526,089 : x
  2. Step 2: Convert to fraction form
    374,022/526,089 = 526,089/x
  3. Step 3: Cross multiply
    374,022x = 526,089 × 526,089
  4. Step 4: Simplify right side
    374,022x = 276,769,635,921
  5. Step 5: Solve for x
    x = 276,769,635,921/374,022
  6. Step 6: Final answer
    x = 739,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.