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Finding the Third Proportional to 283,416 and 434,052

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Solution

The third proportional to 283,416 and 434,052 is: 664,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,416 : 434,052 = 434,052 : x
  2. Step 2: Convert to fraction form
    283,416/434,052 = 434,052/x
  3. Step 3: Cross multiply
    283,416x = 434,052 × 434,052
  4. Step 4: Simplify right side
    283,416x = 188,401,138,704
  5. Step 5: Solve for x
    x = 188,401,138,704/283,416
  6. Step 6: Final answer
    x = 664,751.24

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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.