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Finding the Third Proportional to 454,270.50 and 983,768.63

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Solution

The third proportional to 454,270.50 and 983,768.63 is: 2,130,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,270.50 : 983,768.63 = 983,768.63 : x
  2. Step 2: Convert to fraction form
    454,270.50/983,768.63 = 983,768.63/x
  3. Step 3: Cross multiply
    454,270.50x = 983,768.63 × 983,768.63
  4. Step 4: Simplify right side
    454,270.50x = 967,800,707,534.39
  5. Step 5: Solve for x
    x = 967,800,707,534.39/454,270.50
  6. Step 6: Final answer
    x = 2,130,450.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.