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Finding the Third Proportional to 377,723.25 and 570,228.75

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Solution

The third proportional to 377,723.25 and 570,228.75 is: 860,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,723.25 : 570,228.75 = 570,228.75 : x
  2. Step 2: Convert to fraction form
    377,723.25/570,228.75 = 570,228.75/x
  3. Step 3: Cross multiply
    377,723.25x = 570,228.75 × 570,228.75
  4. Step 4: Simplify right side
    377,723.25x = 325,160,827,326.56
  5. Step 5: Solve for x
    x = 325,160,827,326.56/377,723.25
  6. Step 6: Final answer
    x = 860,844.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.