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Finding the Third Proportional to 374,016 and 526,080

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Solution

The third proportional to 374,016 and 526,080 is: 739,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,016 : 526,080 = 526,080 : x
  2. Step 2: Convert to fraction form
    374,016/526,080 = 526,080/x
  3. Step 3: Cross multiply
    374,016x = 526,080 × 526,080
  4. Step 4: Simplify right side
    374,016x = 276,760,166,400
  5. Step 5: Solve for x
    x = 276,760,166,400/374,016
  6. Step 6: Final answer
    x = 739,968.79

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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.