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Finding the Third Proportional to 383,055 and 606,258

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Solution

The third proportional to 383,055 and 606,258 is: 959,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,055 : 606,258 = 606,258 : x
  2. Step 2: Convert to fraction form
    383,055/606,258 = 606,258/x
  3. Step 3: Cross multiply
    383,055x = 606,258 × 606,258
  4. Step 4: Simplify right side
    383,055x = 367,548,762,564
  5. Step 5: Solve for x
    x = 367,548,762,564/383,055
  6. Step 6: Final answer
    x = 959,519.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.