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Finding the Third Proportional to 258,856 and 402,108

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Solution

The third proportional to 258,856 and 402,108 is: 624,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,856 : 402,108 = 402,108 : x
  2. Step 2: Convert to fraction form
    258,856/402,108 = 402,108/x
  3. Step 3: Cross multiply
    258,856x = 402,108 × 402,108
  4. Step 4: Simplify right side
    258,856x = 161,690,843,664
  5. Step 5: Solve for x
    x = 161,690,843,664/258,856
  6. Step 6: Final answer
    x = 624,636.26

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