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Finding the Third Proportional to 500,022.56 and 794,319.75

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Solution

The third proportional to 500,022.56 and 794,319.75 is: 1,261,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,022.56 : 794,319.75 = 794,319.75 : x
  2. Step 2: Convert to fraction form
    500,022.56/794,319.75 = 794,319.75/x
  3. Step 3: Cross multiply
    500,022.56x = 794,319.75 × 794,319.75
  4. Step 4: Simplify right side
    500,022.56x = 630,943,865,240.06
  5. Step 5: Solve for x
    x = 630,943,865,240.06/500,022.56
  6. Step 6: Final answer
    x = 1,261,830.79

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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.