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Finding the Third Proportional to 500,022 and 794,322

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Solution

The third proportional to 500,022 and 794,322 is: 1,261,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,022 : 794,322 = 794,322 : x
  2. Step 2: Convert to fraction form
    500,022/794,322 = 794,322/x
  3. Step 3: Cross multiply
    500,022x = 794,322 × 794,322
  4. Step 4: Simplify right side
    500,022x = 630,947,439,684
  5. Step 5: Solve for x
    x = 630,947,439,684/500,022
  6. Step 6: Final answer
    x = 1,261,839.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.