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Finding the Third Proportional to 454,450.50 and 988,706.25

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Solution

The third proportional to 454,450.50 and 988,706.25 is: 2,151,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,450.50 : 988,706.25 = 988,706.25 : x
  2. Step 2: Convert to fraction form
    454,450.50/988,706.25 = 988,706.25/x
  3. Step 3: Cross multiply
    454,450.50x = 988,706.25 × 988,706.25
  4. Step 4: Simplify right side
    454,450.50x = 977,540,048,789.06
  5. Step 5: Solve for x
    x = 977,540,048,789.06/454,450.50
  6. Step 6: Final answer
    x = 2,151,037.46

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Why These Related Problems?

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