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Finding the Third Proportional to 364,205.25 and 742,854.75

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Solution

The third proportional to 364,205.25 and 742,854.75 is: 1,515,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,205.25 : 742,854.75 = 742,854.75 : x
  2. Step 2: Convert to fraction form
    364,205.25/742,854.75 = 742,854.75/x
  3. Step 3: Cross multiply
    364,205.25x = 742,854.75 × 742,854.75
  4. Step 4: Simplify right side
    364,205.25x = 551,833,179,597.56
  5. Step 5: Solve for x
    x = 551,833,179,597.56/364,205.25
  6. Step 6: Final answer
    x = 1,515,170.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.