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Finding the Third Proportional to 305,930 and 656,146

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Solution

The third proportional to 305,930 and 656,146 is: 1,407,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,930 : 656,146 = 656,146 : x
  2. Step 2: Convert to fraction form
    305,930/656,146 = 656,146/x
  3. Step 3: Cross multiply
    305,930x = 656,146 × 656,146
  4. Step 4: Simplify right side
    305,930x = 430,527,573,316
  5. Step 5: Solve for x
    x = 430,527,573,316/305,930
  6. Step 6: Final answer
    x = 1,407,274.78

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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.