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Finding the Third Proportional to 500,379 and 737,333

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Solution

The third proportional to 500,379 and 737,333 is: 1,086,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,379 : 737,333 = 737,333 : x
  2. Step 2: Convert to fraction form
    500,379/737,333 = 737,333/x
  3. Step 3: Cross multiply
    500,379x = 737,333 × 737,333
  4. Step 4: Simplify right side
    500,379x = 543,659,952,889
  5. Step 5: Solve for x
    x = 543,659,952,889/500,379
  6. Step 6: Final answer
    x = 1,086,496.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.