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Finding the Third Proportional to 270,282 and 423,990

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Solution

The third proportional to 270,282 and 423,990 is: 665,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,282 : 423,990 = 423,990 : x
  2. Step 2: Convert to fraction form
    270,282/423,990 = 423,990/x
  3. Step 3: Cross multiply
    270,282x = 423,990 × 423,990
  4. Step 4: Simplify right side
    270,282x = 179,767,520,100
  5. Step 5: Solve for x
    x = 179,767,520,100/270,282
  6. Step 6: Final answer
    x = 665,110.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.