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Finding the Third Proportional to 333,120 and 437,359.50

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Solution

The third proportional to 333,120 and 437,359.50 is: 574,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,120 : 437,359.50 = 437,359.50 : x
  2. Step 2: Convert to fraction form
    333,120/437,359.50 = 437,359.50/x
  3. Step 3: Cross multiply
    333,120x = 437,359.50 × 437,359.50
  4. Step 4: Simplify right side
    333,120x = 191,283,332,240.25
  5. Step 5: Solve for x
    x = 191,283,332,240.25/333,120
  6. Step 6: Final answer
    x = 574,217.50

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.