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Finding the Third Proportional to 291,307.50 and 418,104

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Solution

The third proportional to 291,307.50 and 418,104 is: 600,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,307.50 : 418,104 = 418,104 : x
  2. Step 2: Convert to fraction form
    291,307.50/418,104 = 418,104/x
  3. Step 3: Cross multiply
    291,307.50x = 418,104 × 418,104
  4. Step 4: Simplify right side
    291,307.50x = 174,810,954,816
  5. Step 5: Solve for x
    x = 174,810,954,816/291,307.50
  6. Step 6: Final answer
    x = 600,090.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.