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Finding the Third Proportional to 236,477.50 and 518,945

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Solution

The third proportional to 236,477.50 and 518,945 is: 1,138,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,477.50 : 518,945 = 518,945 : x
  2. Step 2: Convert to fraction form
    236,477.50/518,945 = 518,945/x
  3. Step 3: Cross multiply
    236,477.50x = 518,945 × 518,945
  4. Step 4: Simplify right side
    236,477.50x = 269,303,913,025
  5. Step 5: Solve for x
    x = 269,303,913,025/236,477.50
  6. Step 6: Final answer
    x = 1,138,814.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.