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Finding the Third Proportional to 301,434 and 650,190

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Solution

The third proportional to 301,434 and 650,190 is: 1,402,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,434 : 650,190 = 650,190 : x
  2. Step 2: Convert to fraction form
    301,434/650,190 = 650,190/x
  3. Step 3: Cross multiply
    301,434x = 650,190 × 650,190
  4. Step 4: Simplify right side
    301,434x = 422,747,036,100
  5. Step 5: Solve for x
    x = 422,747,036,100/301,434
  6. Step 6: Final answer
    x = 1,402,453.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.