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Finding the Third Proportional to 315,573.50 and 676,356.50

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Solution

The third proportional to 315,573.50 and 676,356.50 is: 1,449,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,573.50 : 676,356.50 = 676,356.50 : x
  2. Step 2: Convert to fraction form
    315,573.50/676,356.50 = 676,356.50/x
  3. Step 3: Cross multiply
    315,573.50x = 676,356.50 × 676,356.50
  4. Step 4: Simplify right side
    315,573.50x = 457,458,115,092.25
  5. Step 5: Solve for x
    x = 457,458,115,092.25/315,573.50
  6. Step 6: Final answer
    x = 1,449,608.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.