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Finding the Third Proportional to 358,851 and 769,200

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Solution

The third proportional to 358,851 and 769,200 is: 1,648,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,851 : 769,200 = 769,200 : x
  2. Step 2: Convert to fraction form
    358,851/769,200 = 769,200/x
  3. Step 3: Cross multiply
    358,851x = 769,200 × 769,200
  4. Step 4: Simplify right side
    358,851x = 591,668,640,000
  5. Step 5: Solve for x
    x = 591,668,640,000/358,851
  6. Step 6: Final answer
    x = 1,648,786.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.