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Finding the Third Proportional to 424,218.09 and 593,397.56

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Solution

The third proportional to 424,218.09 and 593,397.56 is: 830,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,218.09 : 593,397.56 = 593,397.56 : x
  2. Step 2: Convert to fraction form
    424,218.09/593,397.56 = 593,397.56/x
  3. Step 3: Cross multiply
    424,218.09x = 593,397.56 × 593,397.56
  4. Step 4: Simplify right side
    424,218.09x = 352,120,667,180.94
  5. Step 5: Solve for x
    x = 352,120,667,180.94/424,218.09
  6. Step 6: Final answer
    x = 830,046.32

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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.