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Finding the Third Proportional to 374,020 and 526,086

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Solution

The third proportional to 374,020 and 526,086 is: 739,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,020 : 526,086 = 526,086 : x
  2. Step 2: Convert to fraction form
    374,020/526,086 = 526,086/x
  3. Step 3: Cross multiply
    374,020x = 526,086 × 526,086
  4. Step 4: Simplify right side
    374,020x = 276,766,479,396
  5. Step 5: Solve for x
    x = 276,766,479,396/374,020
  6. Step 6: Final answer
    x = 739,977.75

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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.