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Finding the Third Proportional to 268,328 and 424,532

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Solution

The third proportional to 268,328 and 424,532 is: 671,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,328 : 424,532 = 424,532 : x
  2. Step 2: Convert to fraction form
    268,328/424,532 = 424,532/x
  3. Step 3: Cross multiply
    268,328x = 424,532 × 424,532
  4. Step 4: Simplify right side
    268,328x = 180,227,419,024
  5. Step 5: Solve for x
    x = 180,227,419,024/268,328
  6. Step 6: Final answer
    x = 671,668.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.