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Finding the Third Proportional to 264,510.56 and 576,223.88

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Solution

The third proportional to 264,510.56 and 576,223.88 is: 1,255,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,510.56 : 576,223.88 = 576,223.88 : x
  2. Step 2: Convert to fraction form
    264,510.56/576,223.88 = 576,223.88/x
  3. Step 3: Cross multiply
    264,510.56x = 576,223.88 × 576,223.88
  4. Step 4: Simplify right side
    264,510.56x = 332,033,954,120.02
  5. Step 5: Solve for x
    x = 332,033,954,120.02/264,510.56
  6. Step 6: Final answer
    x = 1,255,276.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.