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Finding the Third Proportional to 200,919.23 and 430,975.69

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Solution

The third proportional to 200,919.23 and 430,975.69 is: 924,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919.23 : 430,975.69 = 430,975.69 : x
  2. Step 2: Convert to fraction form
    200,919.23/430,975.69 = 430,975.69/x
  3. Step 3: Cross multiply
    200,919.23x = 430,975.69 × 430,975.69
  4. Step 4: Simplify right side
    200,919.23x = 185,740,043,216.10
  5. Step 5: Solve for x
    x = 185,740,043,216.10/200,919.23
  6. Step 6: Final answer
    x = 924,451.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.