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Finding the Third Proportional to 383,349 and 600,142.50

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Solution

The third proportional to 383,349 and 600,142.50 is: 939,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,349 : 600,142.50 = 600,142.50 : x
  2. Step 2: Convert to fraction form
    383,349/600,142.50 = 600,142.50/x
  3. Step 3: Cross multiply
    383,349x = 600,142.50 × 600,142.50
  4. Step 4: Simplify right side
    383,349x = 360,171,020,306.25
  5. Step 5: Solve for x
    x = 360,171,020,306.25/383,349
  6. Step 6: Final answer
    x = 939,538.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.