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Finding the Third Proportional to 294,193.50 and 440,895

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Solution

The third proportional to 294,193.50 and 440,895 is: 660,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,193.50 : 440,895 = 440,895 : x
  2. Step 2: Convert to fraction form
    294,193.50/440,895 = 440,895/x
  3. Step 3: Cross multiply
    294,193.50x = 440,895 × 440,895
  4. Step 4: Simplify right side
    294,193.50x = 194,388,401,025
  5. Step 5: Solve for x
    x = 194,388,401,025/294,193.50
  6. Step 6: Final answer
    x = 660,750.16

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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.