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Finding the Third Proportional to 327,924 and 464,886

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Solution

The third proportional to 327,924 and 464,886 is: 659,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,924 : 464,886 = 464,886 : x
  2. Step 2: Convert to fraction form
    327,924/464,886 = 464,886/x
  3. Step 3: Cross multiply
    327,924x = 464,886 × 464,886
  4. Step 4: Simplify right side
    327,924x = 216,118,992,996
  5. Step 5: Solve for x
    x = 216,118,992,996/327,924
  6. Step 6: Final answer
    x = 659,052.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.