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Finding the Third Proportional to 380,732.35 and 571,180.75

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Solution

The third proportional to 380,732.35 and 571,180.75 is: 856,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,732.35 : 571,180.75 = 571,180.75 : x
  2. Step 2: Convert to fraction form
    380,732.35/571,180.75 = 571,180.75/x
  3. Step 3: Cross multiply
    380,732.35x = 571,180.75 × 571,180.75
  4. Step 4: Simplify right side
    380,732.35x = 326,247,454,748.49
  5. Step 5: Solve for x
    x = 326,247,454,748.49/380,732.35
  6. Step 6: Final answer
    x = 856,894.49

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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.