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Finding the Third Proportional to 307,251 and 447,367.50

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Solution

The third proportional to 307,251 and 447,367.50 is: 651,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,251 : 447,367.50 = 447,367.50 : x
  2. Step 2: Convert to fraction form
    307,251/447,367.50 = 447,367.50/x
  3. Step 3: Cross multiply
    307,251x = 447,367.50 × 447,367.50
  4. Step 4: Simplify right side
    307,251x = 200,137,680,056.25
  5. Step 5: Solve for x
    x = 200,137,680,056.25/307,251
  6. Step 6: Final answer
    x = 651,381.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.