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Finding the Third Proportional to 301,741.88 and 422,860.50

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Solution

The third proportional to 301,741.88 and 422,860.50 is: 592,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,741.88 : 422,860.50 = 422,860.50 : x
  2. Step 2: Convert to fraction form
    301,741.88/422,860.50 = 422,860.50/x
  3. Step 3: Cross multiply
    301,741.88x = 422,860.50 × 422,860.50
  4. Step 4: Simplify right side
    301,741.88x = 178,811,002,460.25
  5. Step 5: Solve for x
    x = 178,811,002,460.25/301,741.88
  6. Step 6: Final answer
    x = 592,595.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.