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Finding the Third Proportional to 443,968 and 958,979.50

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Solution

The third proportional to 443,968 and 958,979.50 is: 2,071,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,968 : 958,979.50 = 958,979.50 : x
  2. Step 2: Convert to fraction form
    443,968/958,979.50 = 958,979.50/x
  3. Step 3: Cross multiply
    443,968x = 958,979.50 × 958,979.50
  4. Step 4: Simplify right side
    443,968x = 919,641,681,420.25
  5. Step 5: Solve for x
    x = 919,641,681,420.25/443,968
  6. Step 6: Final answer
    x = 2,071,414.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.