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Finding the Third Proportional to 260,848 and 414,618

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Solution

The third proportional to 260,848 and 414,618 is: 659,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,848 : 414,618 = 414,618 : x
  2. Step 2: Convert to fraction form
    260,848/414,618 = 414,618/x
  3. Step 3: Cross multiply
    260,848x = 414,618 × 414,618
  4. Step 4: Simplify right side
    260,848x = 171,908,085,924
  5. Step 5: Solve for x
    x = 171,908,085,924/260,848
  6. Step 6: Final answer
    x = 659,035.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.