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Finding the Third Proportional to 361,352.25 and 778,203

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Solution

The third proportional to 361,352.25 and 778,203 is: 1,675,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,352.25 : 778,203 = 778,203 : x
  2. Step 2: Convert to fraction form
    361,352.25/778,203 = 778,203/x
  3. Step 3: Cross multiply
    361,352.25x = 778,203 × 778,203
  4. Step 4: Simplify right side
    361,352.25x = 605,599,909,209
  5. Step 5: Solve for x
    x = 605,599,909,209/361,352.25
  6. Step 6: Final answer
    x = 1,675,926.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.