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Finding the Third Proportional to 270,404 and 420,888

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Solution

The third proportional to 270,404 and 420,888 is: 655,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,404 : 420,888 = 420,888 : x
  2. Step 2: Convert to fraction form
    270,404/420,888 = 420,888/x
  3. Step 3: Cross multiply
    270,404x = 420,888 × 420,888
  4. Step 4: Simplify right side
    270,404x = 177,146,708,544
  5. Step 5: Solve for x
    x = 177,146,708,544/270,404
  6. Step 6: Final answer
    x = 655,118.67

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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.