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Finding the Third Proportional to 438,320.25 and 593,976.38

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Solution

The third proportional to 438,320.25 and 593,976.38 is: 804,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,320.25 : 593,976.38 = 593,976.38 : x
  2. Step 2: Convert to fraction form
    438,320.25/593,976.38 = 593,976.38/x
  3. Step 3: Cross multiply
    438,320.25x = 593,976.38 × 593,976.38
  4. Step 4: Simplify right side
    438,320.25x = 352,807,934,058.14
  5. Step 5: Solve for x
    x = 352,807,934,058.14/438,320.25
  6. Step 6: Final answer
    x = 804,909.05

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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.