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Finding the Third Proportional to 444,441 and 677,596.50

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Solution

The third proportional to 444,441 and 677,596.50 is: 1,033,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,441 : 677,596.50 = 677,596.50 : x
  2. Step 2: Convert to fraction form
    444,441/677,596.50 = 677,596.50/x
  3. Step 3: Cross multiply
    444,441x = 677,596.50 × 677,596.50
  4. Step 4: Simplify right side
    444,441x = 459,137,016,812.25
  5. Step 5: Solve for x
    x = 459,137,016,812.25/444,441
  6. Step 6: Final answer
    x = 1,033,066.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.