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Finding the Third Proportional to 262,478.50 and 562,131.50

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Solution

The third proportional to 262,478.50 and 562,131.50 is: 1,203,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,478.50 : 562,131.50 = 562,131.50 : x
  2. Step 2: Convert to fraction form
    262,478.50/562,131.50 = 562,131.50/x
  3. Step 3: Cross multiply
    262,478.50x = 562,131.50 × 562,131.50
  4. Step 4: Simplify right side
    262,478.50x = 315,991,823,292.25
  5. Step 5: Solve for x
    x = 315,991,823,292.25/262,478.50
  6. Step 6: Final answer
    x = 1,203,876.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.