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Finding the Third Proportional to 449,599.50 and 971,169.75

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Solution

The third proportional to 449,599.50 and 971,169.75 is: 2,097,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,599.50 : 971,169.75 = 971,169.75 : x
  2. Step 2: Convert to fraction form
    449,599.50/971,169.75 = 971,169.75/x
  3. Step 3: Cross multiply
    449,599.50x = 971,169.75 × 971,169.75
  4. Step 4: Simplify right side
    449,599.50x = 943,170,683,315.06
  5. Step 5: Solve for x
    x = 943,170,683,315.06/449,599.50
  6. Step 6: Final answer
    x = 2,097,801.90

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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.