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Finding the Third Proportional to 322,007 and 437,311.50

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Solution

The third proportional to 322,007 and 437,311.50 is: 593,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,007 : 437,311.50 = 437,311.50 : x
  2. Step 2: Convert to fraction form
    322,007/437,311.50 = 437,311.50/x
  3. Step 3: Cross multiply
    322,007x = 437,311.50 × 437,311.50
  4. Step 4: Simplify right side
    322,007x = 191,241,348,032.25
  5. Step 5: Solve for x
    x = 191,241,348,032.25/322,007
  6. Step 6: Final answer
    x = 593,904.32

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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.