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Finding the Third Proportional to 262,507.50 and 562,194

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Solution

The third proportional to 262,507.50 and 562,194 is: 1,204,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,507.50 : 562,194 = 562,194 : x
  2. Step 2: Convert to fraction form
    262,507.50/562,194 = 562,194/x
  3. Step 3: Cross multiply
    262,507.50x = 562,194 × 562,194
  4. Step 4: Simplify right side
    262,507.50x = 316,062,093,636
  5. Step 5: Solve for x
    x = 316,062,093,636/262,507.50
  6. Step 6: Final answer
    x = 1,204,011.67

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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.