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Finding the Third Proportional to 384,672.80 and 890,523.33

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Solution

The third proportional to 384,672.80 and 890,523.33 is: 2,061,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,672.80 : 890,523.33 = 890,523.33 : x
  2. Step 2: Convert to fraction form
    384,672.80/890,523.33 = 890,523.33/x
  3. Step 3: Cross multiply
    384,672.80x = 890,523.33 × 890,523.33
  4. Step 4: Simplify right side
    384,672.80x = 793,031,808,370.69
  5. Step 5: Solve for x
    x = 793,031,808,370.69/384,672.80
  6. Step 6: Final answer
    x = 2,061,574.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.