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Finding the Third Proportional to 275,203.50 and 604,671

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Solution

The third proportional to 275,203.50 and 604,671 is: 1,328,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,203.50 : 604,671 = 604,671 : x
  2. Step 2: Convert to fraction form
    275,203.50/604,671 = 604,671/x
  3. Step 3: Cross multiply
    275,203.50x = 604,671 × 604,671
  4. Step 4: Simplify right side
    275,203.50x = 365,627,018,241
  5. Step 5: Solve for x
    x = 365,627,018,241/275,203.50
  6. Step 6: Final answer
    x = 1,328,569.65

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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.