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Finding the Third Proportional to 443,218.50 and 645,421.50

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Solution

The third proportional to 443,218.50 and 645,421.50 is: 939,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,218.50 : 645,421.50 = 645,421.50 : x
  2. Step 2: Convert to fraction form
    443,218.50/645,421.50 = 645,421.50/x
  3. Step 3: Cross multiply
    443,218.50x = 645,421.50 × 645,421.50
  4. Step 4: Simplify right side
    443,218.50x = 416,568,912,662.25
  5. Step 5: Solve for x
    x = 416,568,912,662.25/443,218.50
  6. Step 6: Final answer
    x = 939,872.57

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.