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Finding the Third Proportional to 293,582 and 408,501

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Solution

The third proportional to 293,582 and 408,501 is: 568,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,582 : 408,501 = 408,501 : x
  2. Step 2: Convert to fraction form
    293,582/408,501 = 408,501/x
  3. Step 3: Cross multiply
    293,582x = 408,501 × 408,501
  4. Step 4: Simplify right side
    293,582x = 166,873,067,001
  5. Step 5: Solve for x
    x = 166,873,067,001/293,582
  6. Step 6: Final answer
    x = 568,403.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.