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Finding the Third Proportional to 451,326.75 and 983,603.25

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Solution

The third proportional to 451,326.75 and 983,603.25 is: 2,143,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,326.75 : 983,603.25 = 983,603.25 : x
  2. Step 2: Convert to fraction form
    451,326.75/983,603.25 = 983,603.25/x
  3. Step 3: Cross multiply
    451,326.75x = 983,603.25 × 983,603.25
  4. Step 4: Simplify right side
    451,326.75x = 967,475,353,410.56
  5. Step 5: Solve for x
    x = 967,475,353,410.56/451,326.75
  6. Step 6: Final answer
    x = 2,143,625.11

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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.