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Finding the Third Proportional to 260,964 and 501,192

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Solution

The third proportional to 260,964 and 501,192 is: 962,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,964 : 501,192 = 501,192 : x
  2. Step 2: Convert to fraction form
    260,964/501,192 = 501,192/x
  3. Step 3: Cross multiply
    260,964x = 501,192 × 501,192
  4. Step 4: Simplify right side
    260,964x = 251,193,420,864
  5. Step 5: Solve for x
    x = 251,193,420,864/260,964
  6. Step 6: Final answer
    x = 962,559.67

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.