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Finding the Third Proportional to 504,716.50 and 775,783.75

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Solution

The third proportional to 504,716.50 and 775,783.75 is: 1,192,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,716.50 : 775,783.75 = 775,783.75 : x
  2. Step 2: Convert to fraction form
    504,716.50/775,783.75 = 775,783.75/x
  3. Step 3: Cross multiply
    504,716.50x = 775,783.75 × 775,783.75
  4. Step 4: Simplify right side
    504,716.50x = 601,840,426,764.06
  5. Step 5: Solve for x
    x = 601,840,426,764.06/504,716.50
  6. Step 6: Final answer
    x = 1,192,432.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.