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Finding the Third Proportional to 301,930.50 and 712,816.50

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Solution

The third proportional to 301,930.50 and 712,816.50 is: 1,682,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,930.50 : 712,816.50 = 712,816.50 : x
  2. Step 2: Convert to fraction form
    301,930.50/712,816.50 = 712,816.50/x
  3. Step 3: Cross multiply
    301,930.50x = 712,816.50 × 712,816.50
  4. Step 4: Simplify right side
    301,930.50x = 508,107,362,672.25
  5. Step 5: Solve for x
    x = 508,107,362,672.25/301,930.50
  6. Step 6: Final answer
    x = 1,682,861.99

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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.