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Finding the Third Proportional to 383,452 and 583,144

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Solution

The third proportional to 383,452 and 583,144 is: 886,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,452 : 583,144 = 583,144 : x
  2. Step 2: Convert to fraction form
    383,452/583,144 = 583,144/x
  3. Step 3: Cross multiply
    383,452x = 583,144 × 583,144
  4. Step 4: Simplify right side
    383,452x = 340,056,924,736
  5. Step 5: Solve for x
    x = 340,056,924,736/383,452
  6. Step 6: Final answer
    x = 886,830.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.