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Finding the Third Proportional to 297,480.09 and 453,193.37

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Solution

The third proportional to 297,480.09 and 453,193.37 is: 690,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,480.09 : 453,193.37 = 453,193.37 : x
  2. Step 2: Convert to fraction form
    297,480.09/453,193.37 = 453,193.37/x
  3. Step 3: Cross multiply
    297,480.09x = 453,193.37 × 453,193.37
  4. Step 4: Simplify right side
    297,480.09x = 205,384,226,292.46
  5. Step 5: Solve for x
    x = 205,384,226,292.46/297,480.09
  6. Step 6: Final answer
    x = 690,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.