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Finding the Third Proportional to 258,450.75 and 377,652.38

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Solution

The third proportional to 258,450.75 and 377,652.38 is: 551,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,450.75 : 377,652.38 = 377,652.38 : x
  2. Step 2: Convert to fraction form
    258,450.75/377,652.38 = 377,652.38/x
  3. Step 3: Cross multiply
    258,450.75x = 377,652.38 × 377,652.38
  4. Step 4: Simplify right side
    258,450.75x = 142,621,316,343.14
  5. Step 5: Solve for x
    x = 142,621,316,343.14/258,450.75
  6. Step 6: Final answer
    x = 551,831.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.