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Finding the Third Proportional to 444,735 and 952,204.50

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Solution

The third proportional to 444,735 and 952,204.50 is: 2,038,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,735 : 952,204.50 = 952,204.50 : x
  2. Step 2: Convert to fraction form
    444,735/952,204.50 = 952,204.50/x
  3. Step 3: Cross multiply
    444,735x = 952,204.50 × 952,204.50
  4. Step 4: Simplify right side
    444,735x = 906,693,409,820.25
  5. Step 5: Solve for x
    x = 906,693,409,820.25/444,735
  6. Step 6: Final answer
    x = 2,038,727.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.