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Finding the Third Proportional to 301,250.63 and 440,331.38

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Solution

The third proportional to 301,250.63 and 440,331.38 is: 643,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,250.63 : 440,331.38 = 440,331.38 : x
  2. Step 2: Convert to fraction form
    301,250.63/440,331.38 = 440,331.38/x
  3. Step 3: Cross multiply
    301,250.63x = 440,331.38 × 440,331.38
  4. Step 4: Simplify right side
    301,250.63x = 193,891,719,809.39
  5. Step 5: Solve for x
    x = 193,891,719,809.39/301,250.63
  6. Step 6: Final answer
    x = 643,622.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.