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Finding the Third Proportional to 319,104 and 648,672

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Solution

The third proportional to 319,104 and 648,672 is: 1,318,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,104 : 648,672 = 648,672 : x
  2. Step 2: Convert to fraction form
    319,104/648,672 = 648,672/x
  3. Step 3: Cross multiply
    319,104x = 648,672 × 648,672
  4. Step 4: Simplify right side
    319,104x = 420,775,363,584
  5. Step 5: Solve for x
    x = 420,775,363,584/319,104
  6. Step 6: Final answer
    x = 1,318,615.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.