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Finding the Third Proportional to 270,432 and 420,930

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Solution

The third proportional to 270,432 and 420,930 is: 655,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,432 : 420,930 = 420,930 : x
  2. Step 2: Convert to fraction form
    270,432/420,930 = 420,930/x
  3. Step 3: Cross multiply
    270,432x = 420,930 × 420,930
  4. Step 4: Simplify right side
    270,432x = 177,182,064,900
  5. Step 5: Solve for x
    x = 177,182,064,900/270,432
  6. Step 6: Final answer
    x = 655,181.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.