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Finding the Third Proportional to 295,793 and 443,545

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Solution

The third proportional to 295,793 and 443,545 is: 665,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,793 : 443,545 = 443,545 : x
  2. Step 2: Convert to fraction form
    295,793/443,545 = 443,545/x
  3. Step 3: Cross multiply
    295,793x = 443,545 × 443,545
  4. Step 4: Simplify right side
    295,793x = 196,732,167,025
  5. Step 5: Solve for x
    x = 196,732,167,025/295,793
  6. Step 6: Final answer
    x = 665,100.82

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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.