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Finding the Third Proportional to 237,438 and 512,328

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Solution

The third proportional to 237,438 and 512,328 is: 1,105,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,438 : 512,328 = 512,328 : x
  2. Step 2: Convert to fraction form
    237,438/512,328 = 512,328/x
  3. Step 3: Cross multiply
    237,438x = 512,328 × 512,328
  4. Step 4: Simplify right side
    237,438x = 262,479,979,584
  5. Step 5: Solve for x
    x = 262,479,979,584/237,438
  6. Step 6: Final answer
    x = 1,105,467.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.