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Finding the Third Proportional to 297,126 and 640,453.50

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Solution

The third proportional to 297,126 and 640,453.50 is: 1,380,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,126 : 640,453.50 = 640,453.50 : x
  2. Step 2: Convert to fraction form
    297,126/640,453.50 = 640,453.50/x
  3. Step 3: Cross multiply
    297,126x = 640,453.50 × 640,453.50
  4. Step 4: Simplify right side
    297,126x = 410,180,685,662.25
  5. Step 5: Solve for x
    x = 410,180,685,662.25/297,126
  6. Step 6: Final answer
    x = 1,380,494.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.