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Finding the Third Proportional to 290,148 and 443,808

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Solution

The third proportional to 290,148 and 443,808 is: 678,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,148 : 443,808 = 443,808 : x
  2. Step 2: Convert to fraction form
    290,148/443,808 = 443,808/x
  3. Step 3: Cross multiply
    290,148x = 443,808 × 443,808
  4. Step 4: Simplify right side
    290,148x = 196,965,540,864
  5. Step 5: Solve for x
    x = 196,965,540,864/290,148
  6. Step 6: Final answer
    x = 678,845.08

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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.