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Finding the Third Proportional to 270,471 and 428,285

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Solution

The third proportional to 270,471 and 428,285 is: 678,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,471 : 428,285 = 428,285 : x
  2. Step 2: Convert to fraction form
    270,471/428,285 = 428,285/x
  3. Step 3: Cross multiply
    270,471x = 428,285 × 428,285
  4. Step 4: Simplify right side
    270,471x = 183,428,041,225
  5. Step 5: Solve for x
    x = 183,428,041,225/270,471
  6. Step 6: Final answer
    x = 678,180.07

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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.