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Finding the Third Proportional to 461,578.50 and 677,391

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Solution

The third proportional to 461,578.50 and 677,391 is: 994,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,578.50 : 677,391 = 677,391 : x
  2. Step 2: Convert to fraction form
    461,578.50/677,391 = 677,391/x
  3. Step 3: Cross multiply
    461,578.50x = 677,391 × 677,391
  4. Step 4: Simplify right side
    461,578.50x = 458,858,566,881
  5. Step 5: Solve for x
    x = 458,858,566,881/461,578.50
  6. Step 6: Final answer
    x = 994,107.32

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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.