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Finding the Third Proportional to 442,019.50 and 958,883

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Solution

The third proportional to 442,019.50 and 958,883 is: 2,080,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,019.50 : 958,883 = 958,883 : x
  2. Step 2: Convert to fraction form
    442,019.50/958,883 = 958,883/x
  3. Step 3: Cross multiply
    442,019.50x = 958,883 × 958,883
  4. Step 4: Simplify right side
    442,019.50x = 919,456,607,689
  5. Step 5: Solve for x
    x = 919,456,607,689/442,019.50
  6. Step 6: Final answer
    x = 2,080,126.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.