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Finding the Third Proportional to 302,026 and 442,885

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Solution

The third proportional to 302,026 and 442,885 is: 649,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,026 : 442,885 = 442,885 : x
  2. Step 2: Convert to fraction form
    302,026/442,885 = 442,885/x
  3. Step 3: Cross multiply
    302,026x = 442,885 × 442,885
  4. Step 4: Simplify right side
    302,026x = 196,147,123,225
  5. Step 5: Solve for x
    x = 196,147,123,225/302,026
  6. Step 6: Final answer
    x = 649,437.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.