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Finding the Third Proportional to 342,717 and 512,059.50

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Solution

The third proportional to 342,717 and 512,059.50 is: 765,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,717 : 512,059.50 = 512,059.50 : x
  2. Step 2: Convert to fraction form
    342,717/512,059.50 = 512,059.50/x
  3. Step 3: Cross multiply
    342,717x = 512,059.50 × 512,059.50
  4. Step 4: Simplify right side
    342,717x = 262,204,931,540.25
  5. Step 5: Solve for x
    x = 262,204,931,540.25/342,717
  6. Step 6: Final answer
    x = 765,077.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.