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Finding the Third Proportional to 295,806 and 443,565

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Solution

The third proportional to 295,806 and 443,565 is: 665,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,806 : 443,565 = 443,565 : x
  2. Step 2: Convert to fraction form
    295,806/443,565 = 443,565/x
  3. Step 3: Cross multiply
    295,806x = 443,565 × 443,565
  4. Step 4: Simplify right side
    295,806x = 196,749,909,225
  5. Step 5: Solve for x
    x = 196,749,909,225/295,806
  6. Step 6: Final answer
    x = 665,131.57

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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.