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Finding the Third Proportional to 237,908 and 528,296

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Solution

The third proportional to 237,908 and 528,296 is: 1,173,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,908 : 528,296 = 528,296 : x
  2. Step 2: Convert to fraction form
    237,908/528,296 = 528,296/x
  3. Step 3: Cross multiply
    237,908x = 528,296 × 528,296
  4. Step 4: Simplify right side
    237,908x = 279,096,663,616
  5. Step 5: Solve for x
    x = 279,096,663,616/237,908
  6. Step 6: Final answer
    x = 1,173,128.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.