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Finding the Third Proportional to 292,118 and 443,666

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Solution

The third proportional to 292,118 and 443,666 is: 673,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,118 : 443,666 = 443,666 : x
  2. Step 2: Convert to fraction form
    292,118/443,666 = 443,666/x
  3. Step 3: Cross multiply
    292,118x = 443,666 × 443,666
  4. Step 4: Simplify right side
    292,118x = 196,839,519,556
  5. Step 5: Solve for x
    x = 196,839,519,556/292,118
  6. Step 6: Final answer
    x = 673,835.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.