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Finding the Third Proportional to 449,295.75 and 678,622.50

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Solution

The third proportional to 449,295.75 and 678,622.50 is: 1,025,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,295.75 : 678,622.50 = 678,622.50 : x
  2. Step 2: Convert to fraction form
    449,295.75/678,622.50 = 678,622.50/x
  3. Step 3: Cross multiply
    449,295.75x = 678,622.50 × 678,622.50
  4. Step 4: Simplify right side
    449,295.75x = 460,528,497,506.25
  5. Step 5: Solve for x
    x = 460,528,497,506.25/449,295.75
  6. Step 6: Final answer
    x = 1,025,000.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.