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Finding the Third Proportional to 304,908 and 446,427

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Solution

The third proportional to 304,908 and 446,427 is: 653,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,908 : 446,427 = 446,427 : x
  2. Step 2: Convert to fraction form
    304,908/446,427 = 446,427/x
  3. Step 3: Cross multiply
    304,908x = 446,427 × 446,427
  4. Step 4: Simplify right side
    304,908x = 199,297,066,329
  5. Step 5: Solve for x
    x = 199,297,066,329/304,908
  6. Step 6: Final answer
    x = 653,630.16

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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.