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Finding the Third Proportional to 241,277.50 and 519,951

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Solution

The third proportional to 241,277.50 and 519,951 is: 1,120,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,277.50 : 519,951 = 519,951 : x
  2. Step 2: Convert to fraction form
    241,277.50/519,951 = 519,951/x
  3. Step 3: Cross multiply
    241,277.50x = 519,951 × 519,951
  4. Step 4: Simplify right side
    241,277.50x = 270,349,042,401
  5. Step 5: Solve for x
    x = 270,349,042,401/241,277.50
  6. Step 6: Final answer
    x = 1,120,490.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.