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Finding the Third Proportional to 304,284 and 445,158

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Solution

The third proportional to 304,284 and 445,158 is: 651,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,284 : 445,158 = 445,158 : x
  2. Step 2: Convert to fraction form
    304,284/445,158 = 445,158/x
  3. Step 3: Cross multiply
    304,284x = 445,158 × 445,158
  4. Step 4: Simplify right side
    304,284x = 198,165,644,964
  5. Step 5: Solve for x
    x = 198,165,644,964/304,284
  6. Step 6: Final answer
    x = 651,252.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.