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Finding the Third Proportional to 276,122.25 and 604,945.13

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Solution

The third proportional to 276,122.25 and 604,945.13 is: 1,325,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,122.25 : 604,945.13 = 604,945.13 : x
  2. Step 2: Convert to fraction form
    276,122.25/604,945.13 = 604,945.13/x
  3. Step 3: Cross multiply
    276,122.25x = 604,945.13 × 604,945.13
  4. Step 4: Simplify right side
    276,122.25x = 365,958,604,261.27
  5. Step 5: Solve for x
    x = 365,958,604,261.27/276,122.25
  6. Step 6: Final answer
    x = 1,325,349.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.