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Finding the Third Proportional to 318,852 and 488,321

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Solution

The third proportional to 318,852 and 488,321 is: 747,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,852 : 488,321 = 488,321 : x
  2. Step 2: Convert to fraction form
    318,852/488,321 = 488,321/x
  3. Step 3: Cross multiply
    318,852x = 488,321 × 488,321
  4. Step 4: Simplify right side
    318,852x = 238,457,399,041
  5. Step 5: Solve for x
    x = 238,457,399,041/318,852
  6. Step 6: Final answer
    x = 747,862.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.