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Finding the Third Proportional to 291,967.50 and 443,419.50

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Solution

The third proportional to 291,967.50 and 443,419.50 is: 673,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,967.50 : 443,419.50 = 443,419.50 : x
  2. Step 2: Convert to fraction form
    291,967.50/443,419.50 = 443,419.50/x
  3. Step 3: Cross multiply
    291,967.50x = 443,419.50 × 443,419.50
  4. Step 4: Simplify right side
    291,967.50x = 196,620,852,980.25
  5. Step 5: Solve for x
    x = 196,620,852,980.25/291,967.50
  6. Step 6: Final answer
    x = 673,434.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.