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Finding the Third Proportional to 457,845 and 673,069.50

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Solution

The third proportional to 457,845 and 673,069.50 is: 989,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,845 : 673,069.50 = 673,069.50 : x
  2. Step 2: Convert to fraction form
    457,845/673,069.50 = 673,069.50/x
  3. Step 3: Cross multiply
    457,845x = 673,069.50 × 673,069.50
  4. Step 4: Simplify right side
    457,845x = 453,022,551,830.25
  5. Step 5: Solve for x
    x = 453,022,551,830.25/457,845
  6. Step 6: Final answer
    x = 989,467.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.