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Finding the Third Proportional to 258,618 and 401,382

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Solution

The third proportional to 258,618 and 401,382 is: 622,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,618 : 401,382 = 401,382 : x
  2. Step 2: Convert to fraction form
    258,618/401,382 = 401,382/x
  3. Step 3: Cross multiply
    258,618x = 401,382 × 401,382
  4. Step 4: Simplify right side
    258,618x = 161,107,509,924
  5. Step 5: Solve for x
    x = 161,107,509,924/258,618
  6. Step 6: Final answer
    x = 622,955.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.