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Finding the Third Proportional to 322,526,495.25 and 498,047,910.75

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Solution

The third proportional to 322,526,495.25 and 498,047,910.75 is: 769,089,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,495.25 : 498,047,910.75 = 498,047,910.75 : x
  2. Step 2: Convert to fraction form
    322,526,495.25/498,047,910.75 = 498,047,910.75/x
  3. Step 3: Cross multiply
    322,526,495.25x = 498,047,910.75 × 498,047,910.75
  4. Step 4: Simplify right side
    322,526,495.25x = 248,051,721,402,439,968
  5. Step 5: Solve for x
    x = 248,051,721,402,439,968/322,526,495.25
  6. Step 6: Final answer
    x = 769,089,439.33

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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.