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Finding the Third Proportional to 305,451 and 444,325.50

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Solution

The third proportional to 305,451 and 444,325.50 is: 646,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,451 : 444,325.50 = 444,325.50 : x
  2. Step 2: Convert to fraction form
    305,451/444,325.50 = 444,325.50/x
  3. Step 3: Cross multiply
    305,451x = 444,325.50 × 444,325.50
  4. Step 4: Simplify right side
    305,451x = 197,425,149,950.25
  5. Step 5: Solve for x
    x = 197,425,149,950.25/305,451
  6. Step 6: Final answer
    x = 646,339.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.