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Finding the Third Proportional to 283,369 and 431,819

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Solution

The third proportional to 283,369 and 431,819 is: 658,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,369 : 431,819 = 431,819 : x
  2. Step 2: Convert to fraction form
    283,369/431,819 = 431,819/x
  3. Step 3: Cross multiply
    283,369x = 431,819 × 431,819
  4. Step 4: Simplify right side
    283,369x = 186,467,648,761
  5. Step 5: Solve for x
    x = 186,467,648,761/283,369
  6. Step 6: Final answer
    x = 658,038.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.