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Finding the Third Proportional to 304,767 and 656,186

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Solution

The third proportional to 304,767 and 656,186 is: 1,412,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,767 : 656,186 = 656,186 : x
  2. Step 2: Convert to fraction form
    304,767/656,186 = 656,186/x
  3. Step 3: Cross multiply
    304,767x = 656,186 × 656,186
  4. Step 4: Simplify right side
    304,767x = 430,580,066,596
  5. Step 5: Solve for x
    x = 430,580,066,596/304,767
  6. Step 6: Final answer
    x = 1,412,817.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.