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Finding the Third Proportional to 432,660 and 929,288

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Solution

The third proportional to 432,660 and 929,288 is: 1,995,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,660 : 929,288 = 929,288 : x
  2. Step 2: Convert to fraction form
    432,660/929,288 = 929,288/x
  3. Step 3: Cross multiply
    432,660x = 929,288 × 929,288
  4. Step 4: Simplify right side
    432,660x = 863,576,186,944
  5. Step 5: Solve for x
    x = 863,576,186,944/432,660
  6. Step 6: Final answer
    x = 1,995,969.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.