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Finding the Third Proportional to 304,766 and 656,184

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Solution

The third proportional to 304,766 and 656,184 is: 1,412,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,766 : 656,184 = 656,184 : x
  2. Step 2: Convert to fraction form
    304,766/656,184 = 656,184/x
  3. Step 3: Cross multiply
    304,766x = 656,184 × 656,184
  4. Step 4: Simplify right side
    304,766x = 430,577,441,856
  5. Step 5: Solve for x
    x = 430,577,441,856/304,766
  6. Step 6: Final answer
    x = 1,412,813.25

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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.