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Finding the Third Proportional to 383,202 and 588,195

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Solution

The third proportional to 383,202 and 588,195 is: 902,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,202 : 588,195 = 588,195 : x
  2. Step 2: Convert to fraction form
    383,202/588,195 = 588,195/x
  3. Step 3: Cross multiply
    383,202x = 588,195 × 588,195
  4. Step 4: Simplify right side
    383,202x = 345,973,358,025
  5. Step 5: Solve for x
    x = 345,973,358,025/383,202
  6. Step 6: Final answer
    x = 902,848.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.