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Finding the Third Proportional to 301,638 and 663,050

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Solution

The third proportional to 301,638 and 663,050 is: 1,457,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638 : 663,050 = 663,050 : x
  2. Step 2: Convert to fraction form
    301,638/663,050 = 663,050/x
  3. Step 3: Cross multiply
    301,638x = 663,050 × 663,050
  4. Step 4: Simplify right side
    301,638x = 439,635,302,500
  5. Step 5: Solve for x
    x = 439,635,302,500/301,638
  6. Step 6: Final answer
    x = 1,457,493.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.