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Finding the Third Proportional to 297,523.13 and 654,087.66

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Solution

The third proportional to 297,523.13 and 654,087.66 is: 1,437,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,523.13 : 654,087.66 = 654,087.66 : x
  2. Step 2: Convert to fraction form
    297,523.13/654,087.66 = 654,087.66/x
  3. Step 3: Cross multiply
    297,523.13x = 654,087.66 × 654,087.66
  4. Step 4: Simplify right side
    297,523.13x = 427,830,662,058.62
  5. Step 5: Solve for x
    x = 427,830,662,058.62/297,523.13
  6. Step 6: Final answer
    x = 1,437,974.48

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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.