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Finding the Third Proportional to 228,757 and 347,024

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Solution

The third proportional to 228,757 and 347,024 is: 526,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,757 : 347,024 = 347,024 : x
  2. Step 2: Convert to fraction form
    228,757/347,024 = 347,024/x
  3. Step 3: Cross multiply
    228,757x = 347,024 × 347,024
  4. Step 4: Simplify right side
    228,757x = 120,425,656,576
  5. Step 5: Solve for x
    x = 120,425,656,576/228,757
  6. Step 6: Final answer
    x = 526,434.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.