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Finding the Third Proportional to 301,179.52 and 654,847.03

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Solution

The third proportional to 301,179.52 and 654,847.03 is: 1,423,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,179.52 : 654,847.03 = 654,847.03 : x
  2. Step 2: Convert to fraction form
    301,179.52/654,847.03 = 654,847.03/x
  3. Step 3: Cross multiply
    301,179.52x = 654,847.03 × 654,847.03
  4. Step 4: Simplify right side
    301,179.52x = 428,824,634,336.94
  5. Step 5: Solve for x
    x = 428,824,634,336.94/301,179.52
  6. Step 6: Final answer
    x = 1,423,817.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.