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Finding the Third Proportional to 438,326 and 593,984

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Solution

The third proportional to 438,326 and 593,984 is: 804,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,326 : 593,984 = 593,984 : x
  2. Step 2: Convert to fraction form
    438,326/593,984 = 593,984/x
  3. Step 3: Cross multiply
    438,326x = 593,984 × 593,984
  4. Step 4: Simplify right side
    438,326x = 352,816,992,256
  5. Step 5: Solve for x
    x = 352,816,992,256/438,326
  6. Step 6: Final answer
    x = 804,919.15

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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.