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Finding the Third Proportional to 441,317 and 952,602

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Solution

The third proportional to 441,317 and 952,602 is: 2,056,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,317 : 952,602 = 952,602 : x
  2. Step 2: Convert to fraction form
    441,317/952,602 = 952,602/x
  3. Step 3: Cross multiply
    441,317x = 952,602 × 952,602
  4. Step 4: Simplify right side
    441,317x = 907,450,570,404
  5. Step 5: Solve for x
    x = 907,450,570,404/441,317
  6. Step 6: Final answer
    x = 2,056,232.98

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Why These Related Problems?

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