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Finding the Third Proportional to 305,940 and 656,164

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Solution

The third proportional to 305,940 and 656,164 is: 1,407,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,940 : 656,164 = 656,164 : x
  2. Step 2: Convert to fraction form
    305,940/656,164 = 656,164/x
  3. Step 3: Cross multiply
    305,940x = 656,164 × 656,164
  4. Step 4: Simplify right side
    305,940x = 430,551,194,896
  5. Step 5: Solve for x
    x = 430,551,194,896/305,940
  6. Step 6: Final answer
    x = 1,407,305.99

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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.