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Finding the Third Proportional to 384,976.13 and 574,170.19

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Solution

The third proportional to 384,976.13 and 574,170.19 is: 856,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,976.13 : 574,170.19 = 574,170.19 : x
  2. Step 2: Convert to fraction form
    384,976.13/574,170.19 = 574,170.19/x
  3. Step 3: Cross multiply
    384,976.13x = 574,170.19 × 574,170.19
  4. Step 4: Simplify right side
    384,976.13x = 329,671,404,213.79
  5. Step 5: Solve for x
    x = 329,671,404,213.79/384,976.13
  6. Step 6: Final answer
    x = 856,342.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.