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Finding the Third Proportional to 261,911.25 and 387,956.25

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Solution

The third proportional to 261,911.25 and 387,956.25 is: 574,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,911.25 : 387,956.25 = 387,956.25 : x
  2. Step 2: Convert to fraction form
    261,911.25/387,956.25 = 387,956.25/x
  3. Step 3: Cross multiply
    261,911.25x = 387,956.25 × 387,956.25
  4. Step 4: Simplify right side
    261,911.25x = 150,510,051,914.06
  5. Step 5: Solve for x
    x = 150,510,051,914.06/261,911.25
  6. Step 6: Final answer
    x = 574,660.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.