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Finding the Third Proportional to 233,749 and 504,403.50

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Solution

The third proportional to 233,749 and 504,403.50 is: 1,088,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,749 : 504,403.50 = 504,403.50 : x
  2. Step 2: Convert to fraction form
    233,749/504,403.50 = 504,403.50/x
  3. Step 3: Cross multiply
    233,749x = 504,403.50 × 504,403.50
  4. Step 4: Simplify right side
    233,749x = 254,422,890,812.25
  5. Step 5: Solve for x
    x = 254,422,890,812.25/233,749
  6. Step 6: Final answer
    x = 1,088,444.83

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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.