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Finding the Third Proportional to 293,680 and 423,990

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Solution

The third proportional to 293,680 and 423,990 is: 612,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,680 : 423,990 = 423,990 : x
  2. Step 2: Convert to fraction form
    293,680/423,990 = 423,990/x
  3. Step 3: Cross multiply
    293,680x = 423,990 × 423,990
  4. Step 4: Simplify right side
    293,680x = 179,767,520,100
  5. Step 5: Solve for x
    x = 179,767,520,100/293,680
  6. Step 6: Final answer
    x = 612,120.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.