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Finding the Third Proportional to 278,442 and 424,191

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Solution

The third proportional to 278,442 and 424,191 is: 646,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,442 : 424,191 = 424,191 : x
  2. Step 2: Convert to fraction form
    278,442/424,191 = 424,191/x
  3. Step 3: Cross multiply
    278,442x = 424,191 × 424,191
  4. Step 4: Simplify right side
    278,442x = 179,938,004,481
  5. Step 5: Solve for x
    x = 179,938,004,481/278,442
  6. Step 6: Final answer
    x = 646,231.55

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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.