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Finding the Third Proportional to 383,936 and 571,904

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Solution

The third proportional to 383,936 and 571,904 is: 851,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,936 : 571,904 = 571,904 : x
  2. Step 2: Convert to fraction form
    383,936/571,904 = 571,904/x
  3. Step 3: Cross multiply
    383,936x = 571,904 × 571,904
  4. Step 4: Simplify right side
    383,936x = 327,074,185,216
  5. Step 5: Solve for x
    x = 327,074,185,216/383,936
  6. Step 6: Final answer
    x = 851,897.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.