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Finding the Third Proportional to 304,772 and 656,196

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Solution

The third proportional to 304,772 and 656,196 is: 1,412,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,772 : 656,196 = 656,196 : x
  2. Step 2: Convert to fraction form
    304,772/656,196 = 656,196/x
  3. Step 3: Cross multiply
    304,772x = 656,196 × 656,196
  4. Step 4: Simplify right side
    304,772x = 430,593,190,416
  5. Step 5: Solve for x
    x = 430,593,190,416/304,772
  6. Step 6: Final answer
    x = 1,412,837.11

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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.