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Finding the Third Proportional to 327,821,698.13 and 504,394,114.50

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Solution

The third proportional to 327,821,698.13 and 504,394,114.50 is: 776,072,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,821,698.13 : 504,394,114.50 = 504,394,114.50 : x
  2. Step 2: Convert to fraction form
    327,821,698.13/504,394,114.50 = 504,394,114.50/x
  3. Step 3: Cross multiply
    327,821,698.13x = 504,394,114.50 × 504,394,114.50
  4. Step 4: Simplify right side
    327,821,698.13x = 254,413,422,742,239,104
  5. Step 5: Solve for x
    x = 254,413,422,742,239,104/327,821,698.13
  6. Step 6: Final answer
    x = 776,072,554.68

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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.