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Finding the Third Proportional to 283,698 and 431,442

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Solution

The third proportional to 283,698 and 431,442 is: 656,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,698 : 431,442 = 431,442 : x
  2. Step 2: Convert to fraction form
    283,698/431,442 = 431,442/x
  3. Step 3: Cross multiply
    283,698x = 431,442 × 431,442
  4. Step 4: Simplify right side
    283,698x = 186,142,199,364
  5. Step 5: Solve for x
    x = 186,142,199,364/283,698
  6. Step 6: Final answer
    x = 656,127.99

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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.