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Finding the Third Proportional to 300,265 and 467,618

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Solution

The third proportional to 300,265 and 467,618 is: 728,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,265 : 467,618 = 467,618 : x
  2. Step 2: Convert to fraction form
    300,265/467,618 = 467,618/x
  3. Step 3: Cross multiply
    300,265x = 467,618 × 467,618
  4. Step 4: Simplify right side
    300,265x = 218,666,593,924
  5. Step 5: Solve for x
    x = 218,666,593,924/300,265
  6. Step 6: Final answer
    x = 728,245.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.