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Finding the Third Proportional to 431,412.75 and 929,052

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Solution

The third proportional to 431,412.75 and 929,052 is: 2,000,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,412.75 : 929,052 = 929,052 : x
  2. Step 2: Convert to fraction form
    431,412.75/929,052 = 929,052/x
  3. Step 3: Cross multiply
    431,412.75x = 929,052 × 929,052
  4. Step 4: Simplify right side
    431,412.75x = 863,137,618,704
  5. Step 5: Solve for x
    x = 863,137,618,704/431,412.75
  6. Step 6: Final answer
    x = 2,000,723.48

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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.