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Finding the Third Proportional to 297,501.75 and 654,049.13

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Solution

The third proportional to 297,501.75 and 654,049.13 is: 1,437,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,501.75 : 654,049.13 = 654,049.13 : x
  2. Step 2: Convert to fraction form
    297,501.75/654,049.13 = 654,049.13/x
  3. Step 3: Cross multiply
    297,501.75x = 654,049.13 × 654,049.13
  4. Step 4: Simplify right side
    297,501.75x = 427,780,257,913.27
  5. Step 5: Solve for x
    x = 427,780,257,913.27/297,501.75
  6. Step 6: Final answer
    x = 1,437,908.38

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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.