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Finding the Third Proportional to 233,782 and 504,048.50

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Solution

The third proportional to 233,782 and 504,048.50 is: 1,086,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,782 : 504,048.50 = 504,048.50 : x
  2. Step 2: Convert to fraction form
    233,782/504,048.50 = 504,048.50/x
  3. Step 3: Cross multiply
    233,782x = 504,048.50 × 504,048.50
  4. Step 4: Simplify right side
    233,782x = 254,064,890,352.25
  5. Step 5: Solve for x
    x = 254,064,890,352.25/233,782
  6. Step 6: Final answer
    x = 1,086,759.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.