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Finding the Third Proportional to 354,729 and 788,189.50

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Solution

The third proportional to 354,729 and 788,189.50 is: 1,751,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,729 : 788,189.50 = 788,189.50 : x
  2. Step 2: Convert to fraction form
    354,729/788,189.50 = 788,189.50/x
  3. Step 3: Cross multiply
    354,729x = 788,189.50 × 788,189.50
  4. Step 4: Simplify right side
    354,729x = 621,242,687,910.25
  5. Step 5: Solve for x
    x = 621,242,687,910.25/354,729
  6. Step 6: Final answer
    x = 1,751,316.32

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.