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Finding the Third Proportional to 438,324.75 and 593,983.13

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Solution

The third proportional to 438,324.75 and 593,983.13 is: 804,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,324.75 : 593,983.13 = 593,983.13 : x
  2. Step 2: Convert to fraction form
    438,324.75/593,983.13 = 593,983.13/x
  3. Step 3: Cross multiply
    438,324.75x = 593,983.13 × 593,983.13
  4. Step 4: Simplify right side
    438,324.75x = 352,815,952,784.77
  5. Step 5: Solve for x
    x = 352,815,952,784.77/438,324.75
  6. Step 6: Final answer
    x = 804,919.08

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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.