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Finding the Third Proportional to 270,644 and 384,674

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Solution

The third proportional to 270,644 and 384,674 is: 546,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644 : 384,674 = 384,674 : x
  2. Step 2: Convert to fraction form
    270,644/384,674 = 384,674/x
  3. Step 3: Cross multiply
    270,644x = 384,674 × 384,674
  4. Step 4: Simplify right side
    270,644x = 147,974,086,276
  5. Step 5: Solve for x
    x = 147,974,086,276/270,644
  6. Step 6: Final answer
    x = 546,748.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.