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Finding the Third Proportional to 290,147.50 and 443,807.50

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Solution

The third proportional to 290,147.50 and 443,807.50 is: 678,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,147.50 : 443,807.50 = 443,807.50 : x
  2. Step 2: Convert to fraction form
    290,147.50/443,807.50 = 443,807.50/x
  3. Step 3: Cross multiply
    290,147.50x = 443,807.50 × 443,807.50
  4. Step 4: Simplify right side
    290,147.50x = 196,965,097,056.25
  5. Step 5: Solve for x
    x = 196,965,097,056.25/290,147.50
  6. Step 6: Final answer
    x = 678,844.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.