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Finding the Third Proportional to 305,928 and 656,141

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Solution

The third proportional to 305,928 and 656,141 is: 1,407,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,928 : 656,141 = 656,141 : x
  2. Step 2: Convert to fraction form
    305,928/656,141 = 656,141/x
  3. Step 3: Cross multiply
    305,928x = 656,141 × 656,141
  4. Step 4: Simplify right side
    305,928x = 430,521,011,881
  5. Step 5: Solve for x
    x = 430,521,011,881/305,928
  6. Step 6: Final answer
    x = 1,407,262.53

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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.