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Finding the Third Proportional to 383,868 and 581,089.50

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Solution

The third proportional to 383,868 and 581,089.50 is: 879,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,868 : 581,089.50 = 581,089.50 : x
  2. Step 2: Convert to fraction form
    383,868/581,089.50 = 581,089.50/x
  3. Step 3: Cross multiply
    383,868x = 581,089.50 × 581,089.50
  4. Step 4: Simplify right side
    383,868x = 337,665,007,010.25
  5. Step 5: Solve for x
    x = 337,665,007,010.25/383,868
  6. Step 6: Final answer
    x = 879,638.33

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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.