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Finding the Third Proportional to 500,371 and 737,322

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Solution

The third proportional to 500,371 and 737,322 is: 1,086,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,371 : 737,322 = 737,322 : x
  2. Step 2: Convert to fraction form
    500,371/737,322 = 737,322/x
  3. Step 3: Cross multiply
    500,371x = 737,322 × 737,322
  4. Step 4: Simplify right side
    500,371x = 543,643,731,684
  5. Step 5: Solve for x
    x = 543,643,731,684/500,371
  6. Step 6: Final answer
    x = 1,086,481.29

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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.