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Finding the Third Proportional to 383,037.75 and 579,889.13

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Solution

The third proportional to 383,037.75 and 579,889.13 is: 877,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,037.75 : 579,889.13 = 579,889.13 : x
  2. Step 2: Convert to fraction form
    383,037.75/579,889.13 = 579,889.13/x
  3. Step 3: Cross multiply
    383,037.75x = 579,889.13 × 579,889.13
  4. Step 4: Simplify right side
    383,037.75x = 336,271,397,293.27
  5. Step 5: Solve for x
    x = 336,271,397,293.27/383,037.75
  6. Step 6: Final answer
    x = 877,906.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.