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Finding the Third Proportional to 264,308.06 and 425,576.53

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Solution

The third proportional to 264,308.06 and 425,576.53 is: 685,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,308.06 : 425,576.53 = 425,576.53 : x
  2. Step 2: Convert to fraction form
    264,308.06/425,576.53 = 425,576.53/x
  3. Step 3: Cross multiply
    264,308.06x = 425,576.53 × 425,576.53
  4. Step 4: Simplify right side
    264,308.06x = 181,115,383,950.78
  5. Step 5: Solve for x
    x = 181,115,383,950.78/264,308.06
  6. Step 6: Final answer
    x = 685,243.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.