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Finding the Third Proportional to 675,660 and 950,310

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Solution

The third proportional to 675,660 and 950,310 is: 1,336,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,660 : 950,310 = 950,310 : x
  2. Step 2: Convert to fraction form
    675,660/950,310 = 950,310/x
  3. Step 3: Cross multiply
    675,660x = 950,310 × 950,310
  4. Step 4: Simplify right side
    675,660x = 903,089,096,100
  5. Step 5: Solve for x
    x = 903,089,096,100/675,660
  6. Step 6: Final answer
    x = 1,336,602.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.