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Finding the Third Proportional to 380,736 and 571,176.75

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Solution

The third proportional to 380,736 and 571,176.75 is: 856,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,736 : 571,176.75 = 571,176.75 : x
  2. Step 2: Convert to fraction form
    380,736/571,176.75 = 571,176.75/x
  3. Step 3: Cross multiply
    380,736x = 571,176.75 × 571,176.75
  4. Step 4: Simplify right side
    380,736x = 326,242,879,740.56
  5. Step 5: Solve for x
    x = 326,242,879,740.56/380,736
  6. Step 6: Final answer
    x = 856,874.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.