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Finding the Third Proportional to 366,914.25 and 561,314.25

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Solution

The third proportional to 366,914.25 and 561,314.25 is: 858,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,914.25 : 561,314.25 = 561,314.25 : x
  2. Step 2: Convert to fraction form
    366,914.25/561,314.25 = 561,314.25/x
  3. Step 3: Cross multiply
    366,914.25x = 561,314.25 × 561,314.25
  4. Step 4: Simplify right side
    366,914.25x = 315,073,687,253.06
  5. Step 5: Solve for x
    x = 315,073,687,253.06/366,914.25
  6. Step 6: Final answer
    x = 858,712.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.