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Finding the Third Proportional to 441,833.50 and 962,397

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Solution

The third proportional to 441,833.50 and 962,397 is: 2,096,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,833.50 : 962,397 = 962,397 : x
  2. Step 2: Convert to fraction form
    441,833.50/962,397 = 962,397/x
  3. Step 3: Cross multiply
    441,833.50x = 962,397 × 962,397
  4. Step 4: Simplify right side
    441,833.50x = 926,207,985,609
  5. Step 5: Solve for x
    x = 926,207,985,609/441,833.50
  6. Step 6: Final answer
    x = 2,096,282.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.