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Finding the Third Proportional to 431,399.04 and 929,023.17

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Solution

The third proportional to 431,399.04 and 929,023.17 is: 2,000,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,399.04 : 929,023.17 = 929,023.17 : x
  2. Step 2: Convert to fraction form
    431,399.04/929,023.17 = 929,023.17/x
  3. Step 3: Cross multiply
    431,399.04x = 929,023.17 × 929,023.17
  4. Step 4: Simplify right side
    431,399.04x = 863,084,053,880.69
  5. Step 5: Solve for x
    x = 863,084,053,880.69/431,399.04
  6. Step 6: Final answer
    x = 2,000,662.90

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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.