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Finding the Third Proportional to 350,425 and 548,973

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Solution

The third proportional to 350,425 and 548,973 is: 860,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,425 : 548,973 = 548,973 : x
  2. Step 2: Convert to fraction form
    350,425/548,973 = 548,973/x
  3. Step 3: Cross multiply
    350,425x = 548,973 × 548,973
  4. Step 4: Simplify right side
    350,425x = 301,371,354,729
  5. Step 5: Solve for x
    x = 301,371,354,729/350,425
  6. Step 6: Final answer
    x = 860,016.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.