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Finding the Third Proportional to 233,784 and 504,052.50

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Solution

The third proportional to 233,784 and 504,052.50 is: 1,086,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,784 : 504,052.50 = 504,052.50 : x
  2. Step 2: Convert to fraction form
    233,784/504,052.50 = 504,052.50/x
  3. Step 3: Cross multiply
    233,784x = 504,052.50 × 504,052.50
  4. Step 4: Simplify right side
    233,784x = 254,068,922,756.25
  5. Step 5: Solve for x
    x = 254,068,922,756.25/233,784
  6. Step 6: Final answer
    x = 1,086,767.80

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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.