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Finding the Third Proportional to 367,578.56 and 562,181.34

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Solution

The third proportional to 367,578.56 and 562,181.34 is: 859,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,578.56 : 562,181.34 = 562,181.34 : x
  2. Step 2: Convert to fraction form
    367,578.56/562,181.34 = 562,181.34/x
  3. Step 3: Cross multiply
    367,578.56x = 562,181.34 × 562,181.34
  4. Step 4: Simplify right side
    367,578.56x = 316,047,863,260.56
  5. Step 5: Solve for x
    x = 316,047,863,260.56/367,578.56
  6. Step 6: Final answer
    x = 859,810.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.