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Finding the Third Proportional to 446,991.75 and 974,308.50

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Solution

The third proportional to 446,991.75 and 974,308.50 is: 2,123,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,991.75 : 974,308.50 = 974,308.50 : x
  2. Step 2: Convert to fraction form
    446,991.75/974,308.50 = 974,308.50/x
  3. Step 3: Cross multiply
    446,991.75x = 974,308.50 × 974,308.50
  4. Step 4: Simplify right side
    446,991.75x = 949,277,053,172.25
  5. Step 5: Solve for x
    x = 949,277,053,172.25/446,991.75
  6. Step 6: Final answer
    x = 2,123,701.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.