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Finding the Third Proportional to 274,173.38 and 634,664.25

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Solution

The third proportional to 274,173.38 and 634,664.25 is: 1,469,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,173.38 : 634,664.25 = 634,664.25 : x
  2. Step 2: Convert to fraction form
    274,173.38/634,664.25 = 634,664.25/x
  3. Step 3: Cross multiply
    274,173.38x = 634,664.25 × 634,664.25
  4. Step 4: Simplify right side
    274,173.38x = 402,798,710,228.06
  5. Step 5: Solve for x
    x = 402,798,710,228.06/274,173.38
  6. Step 6: Final answer
    x = 1,469,138.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.