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Finding the Third Proportional to 324,857 and 782,618

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Solution

The third proportional to 324,857 and 782,618 is: 1,885,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,857 : 782,618 = 782,618 : x
  2. Step 2: Convert to fraction form
    324,857/782,618 = 782,618/x
  3. Step 3: Cross multiply
    324,857x = 782,618 × 782,618
  4. Step 4: Simplify right side
    324,857x = 612,490,933,924
  5. Step 5: Solve for x
    x = 612,490,933,924/324,857
  6. Step 6: Final answer
    x = 1,885,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.