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Finding the Third Proportional to 327,618 and 700,779

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Solution

The third proportional to 327,618 and 700,779 is: 1,498,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,618 : 700,779 = 700,779 : x
  2. Step 2: Convert to fraction form
    327,618/700,779 = 700,779/x
  3. Step 3: Cross multiply
    327,618x = 700,779 × 700,779
  4. Step 4: Simplify right side
    327,618x = 491,091,206,841
  5. Step 5: Solve for x
    x = 491,091,206,841/327,618
  6. Step 6: Final answer
    x = 1,498,975.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.