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Finding the Third Proportional to 275,403 and 604,914

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Solution

The third proportional to 275,403 and 604,914 is: 1,328,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,403 : 604,914 = 604,914 : x
  2. Step 2: Convert to fraction form
    275,403/604,914 = 604,914/x
  3. Step 3: Cross multiply
    275,403x = 604,914 × 604,914
  4. Step 4: Simplify right side
    275,403x = 365,920,947,396
  5. Step 5: Solve for x
    x = 365,920,947,396/275,403
  6. Step 6: Final answer
    x = 1,328,674.51

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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.