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Finding the Third Proportional to 383,948 and 571,922

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Solution

The third proportional to 383,948 and 571,922 is: 851,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,948 : 571,922 = 571,922 : x
  2. Step 2: Convert to fraction form
    383,948/571,922 = 571,922/x
  3. Step 3: Cross multiply
    383,948x = 571,922 × 571,922
  4. Step 4: Simplify right side
    383,948x = 327,094,774,084
  5. Step 5: Solve for x
    x = 327,094,774,084/383,948
  6. Step 6: Final answer
    x = 851,924.67

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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.