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Finding the Third Proportional to 298,971 and 447,631.50

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Solution

The third proportional to 298,971 and 447,631.50 is: 670,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971 : 447,631.50 = 447,631.50 : x
  2. Step 2: Convert to fraction form
    298,971/447,631.50 = 447,631.50/x
  3. Step 3: Cross multiply
    298,971x = 447,631.50 × 447,631.50
  4. Step 4: Simplify right side
    298,971x = 200,373,959,792.25
  5. Step 5: Solve for x
    x = 200,373,959,792.25/298,971
  6. Step 6: Final answer
    x = 670,212.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.