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Finding the Third Proportional to 442,701.50 and 938,604.50

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Solution

The third proportional to 442,701.50 and 938,604.50 is: 1,990,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,701.50 : 938,604.50 = 938,604.50 : x
  2. Step 2: Convert to fraction form
    442,701.50/938,604.50 = 938,604.50/x
  3. Step 3: Cross multiply
    442,701.50x = 938,604.50 × 938,604.50
  4. Step 4: Simplify right side
    442,701.50x = 880,978,407,420.25
  5. Step 5: Solve for x
    x = 880,978,407,420.25/442,701.50
  6. Step 6: Final answer
    x = 1,990,005.47

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.