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Finding the Third Proportional to 290,148.50 and 443,809

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Solution

The third proportional to 290,148.50 and 443,809 is: 678,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,148.50 : 443,809 = 443,809 : x
  2. Step 2: Convert to fraction form
    290,148.50/443,809 = 443,809/x
  3. Step 3: Cross multiply
    290,148.50x = 443,809 × 443,809
  4. Step 4: Simplify right side
    290,148.50x = 196,966,428,481
  5. Step 5: Solve for x
    x = 196,966,428,481/290,148.50
  6. Step 6: Final answer
    x = 678,846.96

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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.