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Finding the Third Proportional to 561,087 and 847,523.25

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Solution

The third proportional to 561,087 and 847,523.25 is: 1,280,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,087 : 847,523.25 = 847,523.25 : x
  2. Step 2: Convert to fraction form
    561,087/847,523.25 = 847,523.25/x
  3. Step 3: Cross multiply
    561,087x = 847,523.25 × 847,523.25
  4. Step 4: Simplify right side
    561,087x = 718,295,659,290.56
  5. Step 5: Solve for x
    x = 718,295,659,290.56/561,087
  6. Step 6: Final answer
    x = 1,280,185.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.