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Finding the Third Proportional to 333,379 and 786,644

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Solution

The third proportional to 333,379 and 786,644 is: 1,856,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,379 : 786,644 = 786,644 : x
  2. Step 2: Convert to fraction form
    333,379/786,644 = 786,644/x
  3. Step 3: Cross multiply
    333,379x = 786,644 × 786,644
  4. Step 4: Simplify right side
    333,379x = 618,808,782,736
  5. Step 5: Solve for x
    x = 618,808,782,736/333,379
  6. Step 6: Final answer
    x = 1,856,172.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.