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Finding the Third Proportional to 504,744.75 and 775,823.06

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Solution

The third proportional to 504,744.75 and 775,823.06 is: 1,192,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,744.75 : 775,823.06 = 775,823.06 : x
  2. Step 2: Convert to fraction form
    504,744.75/775,823.06 = 775,823.06/x
  3. Step 3: Cross multiply
    504,744.75x = 775,823.06 × 775,823.06
  4. Step 4: Simplify right side
    504,744.75x = 601,901,424,306.88
  5. Step 5: Solve for x
    x = 601,901,424,306.88/504,744.75
  6. Step 6: Final answer
    x = 1,192,486.75

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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.