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Finding the Third Proportional to 409,072.50 and 837,945

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Solution

The third proportional to 409,072.50 and 837,945 is: 1,716,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,072.50 : 837,945 = 837,945 : x
  2. Step 2: Convert to fraction form
    409,072.50/837,945 = 837,945/x
  3. Step 3: Cross multiply
    409,072.50x = 837,945 × 837,945
  4. Step 4: Simplify right side
    409,072.50x = 702,151,823,025
  5. Step 5: Solve for x
    x = 702,151,823,025/409,072.50
  6. Step 6: Final answer
    x = 1,716,448.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.