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Finding the Third Proportional to 258,235.31 and 562,199.06

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Solution

The third proportional to 258,235.31 and 562,199.06 is: 1,223,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,235.31 : 562,199.06 = 562,199.06 : x
  2. Step 2: Convert to fraction form
    258,235.31/562,199.06 = 562,199.06/x
  3. Step 3: Cross multiply
    258,235.31x = 562,199.06 × 562,199.06
  4. Step 4: Simplify right side
    258,235.31x = 316,067,785,875.88
  5. Step 5: Solve for x
    x = 316,067,785,875.88/258,235.31
  6. Step 6: Final answer
    x = 1,223,952.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.