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Finding the Third Proportional to 422,460 and 573,930

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Solution

The third proportional to 422,460 and 573,930 is: 779,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,460 : 573,930 = 573,930 : x
  2. Step 2: Convert to fraction form
    422,460/573,930 = 573,930/x
  3. Step 3: Cross multiply
    422,460x = 573,930 × 573,930
  4. Step 4: Simplify right side
    422,460x = 329,395,644,900
  5. Step 5: Solve for x
    x = 329,395,644,900/422,460
  6. Step 6: Final answer
    x = 779,708.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.