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Finding the Third Proportional to 438,642 and 911,749.50

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Solution

The third proportional to 438,642 and 911,749.50 is: 1,895,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,642 : 911,749.50 = 911,749.50 : x
  2. Step 2: Convert to fraction form
    438,642/911,749.50 = 911,749.50/x
  3. Step 3: Cross multiply
    438,642x = 911,749.50 × 911,749.50
  4. Step 4: Simplify right side
    438,642x = 831,287,150,750.25
  5. Step 5: Solve for x
    x = 831,287,150,750.25/438,642
  6. Step 6: Final answer
    x = 1,895,138.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.