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Finding the Third Proportional to 283,080 and 434,448

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Solution

The third proportional to 283,080 and 434,448 is: 666,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,080 : 434,448 = 434,448 : x
  2. Step 2: Convert to fraction form
    283,080/434,448 = 434,448/x
  3. Step 3: Cross multiply
    283,080x = 434,448 × 434,448
  4. Step 4: Simplify right side
    283,080x = 188,745,064,704
  5. Step 5: Solve for x
    x = 188,745,064,704/283,080
  6. Step 6: Final answer
    x = 666,755.21

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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.