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Finding the Third Proportional to 677,674.50 and 993,878

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Solution

The third proportional to 677,674.50 and 993,878 is: 1,457,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,674.50 : 993,878 = 993,878 : x
  2. Step 2: Convert to fraction form
    677,674.50/993,878 = 993,878/x
  3. Step 3: Cross multiply
    677,674.50x = 993,878 × 993,878
  4. Step 4: Simplify right side
    677,674.50x = 987,793,478,884
  5. Step 5: Solve for x
    x = 987,793,478,884/677,674.50
  6. Step 6: Final answer
    x = 1,457,622.32

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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.