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Finding the Third Proportional to 303,576 and 668,275.50

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Solution

The third proportional to 303,576 and 668,275.50 is: 1,471,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,576 : 668,275.50 = 668,275.50 : x
  2. Step 2: Convert to fraction form
    303,576/668,275.50 = 668,275.50/x
  3. Step 3: Cross multiply
    303,576x = 668,275.50 × 668,275.50
  4. Step 4: Simplify right side
    303,576x = 446,592,143,900.25
  5. Step 5: Solve for x
    x = 446,592,143,900.25/303,576
  6. Step 6: Final answer
    x = 1,471,104.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.