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Finding the Third Proportional to 295,648 and 670,216

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Solution

The third proportional to 295,648 and 670,216 is: 1,519,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,648 : 670,216 = 670,216 : x
  2. Step 2: Convert to fraction form
    295,648/670,216 = 670,216/x
  3. Step 3: Cross multiply
    295,648x = 670,216 × 670,216
  4. Step 4: Simplify right side
    295,648x = 449,189,486,656
  5. Step 5: Solve for x
    x = 449,189,486,656/295,648
  6. Step 6: Final answer
    x = 1,519,338.83

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.