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Finding the Third Proportional to 306,373.50 and 449,259.75

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Solution

The third proportional to 306,373.50 and 449,259.75 is: 658,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,373.50 : 449,259.75 = 449,259.75 : x
  2. Step 2: Convert to fraction form
    306,373.50/449,259.75 = 449,259.75/x
  3. Step 3: Cross multiply
    306,373.50x = 449,259.75 × 449,259.75
  4. Step 4: Simplify right side
    306,373.50x = 201,834,322,970.06
  5. Step 5: Solve for x
    x = 201,834,322,970.06/306,373.50
  6. Step 6: Final answer
    x = 658,785.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.