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Finding the Third Proportional to 293,684 and 423,996

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Solution

The third proportional to 293,684 and 423,996 is: 612,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,684 : 423,996 = 423,996 : x
  2. Step 2: Convert to fraction form
    293,684/423,996 = 423,996/x
  3. Step 3: Cross multiply
    293,684x = 423,996 × 423,996
  4. Step 4: Simplify right side
    293,684x = 179,772,608,016
  5. Step 5: Solve for x
    x = 179,772,608,016/293,684
  6. Step 6: Final answer
    x = 612,129.39

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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.