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Finding the Third Proportional to 295,431 and 443,035

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Solution

The third proportional to 295,431 and 443,035 is: 664,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,431 : 443,035 = 443,035 : x
  2. Step 2: Convert to fraction form
    295,431/443,035 = 443,035/x
  3. Step 3: Cross multiply
    295,431x = 443,035 × 443,035
  4. Step 4: Simplify right side
    295,431x = 196,280,011,225
  5. Step 5: Solve for x
    x = 196,280,011,225/295,431
  6. Step 6: Final answer
    x = 664,385.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.