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Finding the Third Proportional to 438,325.50 and 593,983.50

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Solution

The third proportional to 438,325.50 and 593,983.50 is: 804,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,325.50 : 593,983.50 = 593,983.50 : x
  2. Step 2: Convert to fraction form
    438,325.50/593,983.50 = 593,983.50/x
  3. Step 3: Cross multiply
    438,325.50x = 593,983.50 × 593,983.50
  4. Step 4: Simplify right side
    438,325.50x = 352,816,398,272.25
  5. Step 5: Solve for x
    x = 352,816,398,272.25/438,325.50
  6. Step 6: Final answer
    x = 804,918.72

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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.