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Finding the Third Proportional to 270,018 and 427,014

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Solution

The third proportional to 270,018 and 427,014 is: 675,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,018 : 427,014 = 427,014 : x
  2. Step 2: Convert to fraction form
    270,018/427,014 = 427,014/x
  3. Step 3: Cross multiply
    270,018x = 427,014 × 427,014
  4. Step 4: Simplify right side
    270,018x = 182,340,956,196
  5. Step 5: Solve for x
    x = 182,340,956,196/270,018
  6. Step 6: Final answer
    x = 675,291.86

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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.