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Finding the Third Proportional to 300,634 and 449,490

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Solution

The third proportional to 300,634 and 449,490 is: 672,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,634 : 449,490 = 449,490 : x
  2. Step 2: Convert to fraction form
    300,634/449,490 = 449,490/x
  3. Step 3: Cross multiply
    300,634x = 449,490 × 449,490
  4. Step 4: Simplify right side
    300,634x = 202,041,260,100
  5. Step 5: Solve for x
    x = 202,041,260,100/300,634
  6. Step 6: Final answer
    x = 672,050.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.