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Finding the Third Proportional to 302,419 and 446,733

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Solution

The third proportional to 302,419 and 446,733 is: 659,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,419 : 446,733 = 446,733 : x
  2. Step 2: Convert to fraction form
    302,419/446,733 = 446,733/x
  3. Step 3: Cross multiply
    302,419x = 446,733 × 446,733
  4. Step 4: Simplify right side
    302,419x = 199,570,373,289
  5. Step 5: Solve for x
    x = 199,570,373,289/302,419
  6. Step 6: Final answer
    x = 659,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.