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Finding the Third Proportional to 270,553 and 428,390

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Solution

The third proportional to 270,553 and 428,390 is: 678,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,553 : 428,390 = 428,390 : x
  2. Step 2: Convert to fraction form
    270,553/428,390 = 428,390/x
  3. Step 3: Cross multiply
    270,553x = 428,390 × 428,390
  4. Step 4: Simplify right side
    270,553x = 183,517,992,100
  5. Step 5: Solve for x
    x = 183,517,992,100/270,553
  6. Step 6: Final answer
    x = 678,306.99

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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.