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Finding the Third Proportional to 274,627.13 and 415,813.50

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Solution

The third proportional to 274,627.13 and 415,813.50 is: 629,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,627.13 : 415,813.50 = 415,813.50 : x
  2. Step 2: Convert to fraction form
    274,627.13/415,813.50 = 415,813.50/x
  3. Step 3: Cross multiply
    274,627.13x = 415,813.50 × 415,813.50
  4. Step 4: Simplify right side
    274,627.13x = 172,900,866,782.25
  5. Step 5: Solve for x
    x = 172,900,866,782.25/274,627.13
  6. Step 6: Final answer
    x = 629,584.08

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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.