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Finding the Third Proportional to 258,797.25 and 563,154.75

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Solution

The third proportional to 258,797.25 and 563,154.75 is: 1,225,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,797.25 : 563,154.75 = 563,154.75 : x
  2. Step 2: Convert to fraction form
    258,797.25/563,154.75 = 563,154.75/x
  3. Step 3: Cross multiply
    258,797.25x = 563,154.75 × 563,154.75
  4. Step 4: Simplify right side
    258,797.25x = 317,143,272,447.56
  5. Step 5: Solve for x
    x = 317,143,272,447.56/258,797.25
  6. Step 6: Final answer
    x = 1,225,450.70

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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.