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Finding the Third Proportional to 281,748.38 and 422,744.06

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Solution

The third proportional to 281,748.38 and 422,744.06 is: 634,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,748.38 : 422,744.06 = 422,744.06 : x
  2. Step 2: Convert to fraction form
    281,748.38/422,744.06 = 422,744.06/x
  3. Step 3: Cross multiply
    281,748.38x = 422,744.06 × 422,744.06
  4. Step 4: Simplify right side
    281,748.38x = 178,712,542,379.00
  5. Step 5: Solve for x
    x = 178,712,542,379.00/281,748.38
  6. Step 6: Final answer
    x = 634,298.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.