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Finding the Third Proportional to 321,446.25 and 437,824.50

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Solution

The third proportional to 321,446.25 and 437,824.50 is: 596,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,446.25 : 437,824.50 = 437,824.50 : x
  2. Step 2: Convert to fraction form
    321,446.25/437,824.50 = 437,824.50/x
  3. Step 3: Cross multiply
    321,446.25x = 437,824.50 × 437,824.50
  4. Step 4: Simplify right side
    321,446.25x = 191,690,292,800.25
  5. Step 5: Solve for x
    x = 191,690,292,800.25/321,446.25
  6. Step 6: Final answer
    x = 596,337.00

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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.