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Finding the Third Proportional to 270,546 and 420,555

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Solution

The third proportional to 270,546 and 420,555 is: 653,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,546 : 420,555 = 420,555 : x
  2. Step 2: Convert to fraction form
    270,546/420,555 = 420,555/x
  3. Step 3: Cross multiply
    270,546x = 420,555 × 420,555
  4. Step 4: Simplify right side
    270,546x = 176,866,508,025
  5. Step 5: Solve for x
    x = 176,866,508,025/270,546
  6. Step 6: Final answer
    x = 653,739.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.