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Finding the Third Proportional to 312,717 and 737,476.50

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Solution

The third proportional to 312,717 and 737,476.50 is: 1,739,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,717 : 737,476.50 = 737,476.50 : x
  2. Step 2: Convert to fraction form
    312,717/737,476.50 = 737,476.50/x
  3. Step 3: Cross multiply
    312,717x = 737,476.50 × 737,476.50
  4. Step 4: Simplify right side
    312,717x = 543,871,588,052.25
  5. Step 5: Solve for x
    x = 543,871,588,052.25/312,717
  6. Step 6: Final answer
    x = 1,739,181.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.