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Finding the Third Proportional to 290,142 and 443,799

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Solution

The third proportional to 290,142 and 443,799 is: 678,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,142 : 443,799 = 443,799 : x
  2. Step 2: Convert to fraction form
    290,142/443,799 = 443,799/x
  3. Step 3: Cross multiply
    290,142x = 443,799 × 443,799
  4. Step 4: Simplify right side
    290,142x = 196,957,552,401
  5. Step 5: Solve for x
    x = 196,957,552,401/290,142
  6. Step 6: Final answer
    x = 678,831.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.