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Finding the Third Proportional to 424,815 and 593,958

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Solution

The third proportional to 424,815 and 593,958 is: 830,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,815 : 593,958 = 593,958 : x
  2. Step 2: Convert to fraction form
    424,815/593,958 = 593,958/x
  3. Step 3: Cross multiply
    424,815x = 593,958 × 593,958
  4. Step 4: Simplify right side
    424,815x = 352,786,105,764
  5. Step 5: Solve for x
    x = 352,786,105,764/424,815
  6. Step 6: Final answer
    x = 830,446.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.