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Finding the Third Proportional to 305,925.75 and 656,138.25

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Solution

The third proportional to 305,925.75 and 656,138.25 is: 1,407,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,925.75 : 656,138.25 = 656,138.25 : x
  2. Step 2: Convert to fraction form
    305,925.75/656,138.25 = 656,138.25/x
  3. Step 3: Cross multiply
    305,925.75x = 656,138.25 × 656,138.25
  4. Step 4: Simplify right side
    305,925.75x = 430,517,403,113.06
  5. Step 5: Solve for x
    x = 430,517,403,113.06/305,925.75
  6. Step 6: Final answer
    x = 1,407,261.09

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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.