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Finding the Third Proportional to 383,666 and 782,564

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Solution

The third proportional to 383,666 and 782,564 is: 1,596,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,666 : 782,564 = 782,564 : x
  2. Step 2: Convert to fraction form
    383,666/782,564 = 782,564/x
  3. Step 3: Cross multiply
    383,666x = 782,564 × 782,564
  4. Step 4: Simplify right side
    383,666x = 612,406,414,096
  5. Step 5: Solve for x
    x = 612,406,414,096/383,666
  6. Step 6: Final answer
    x = 1,596,196.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.