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Finding the Third Proportional to 304,305 and 650,823

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Solution

The third proportional to 304,305 and 650,823 is: 1,391,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,305 : 650,823 = 650,823 : x
  2. Step 2: Convert to fraction form
    304,305/650,823 = 650,823/x
  3. Step 3: Cross multiply
    304,305x = 650,823 × 650,823
  4. Step 4: Simplify right side
    304,305x = 423,570,577,329
  5. Step 5: Solve for x
    x = 423,570,577,329/304,305
  6. Step 6: Final answer
    x = 1,391,927.76

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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.