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Finding the Third Proportional to 340,692.75 and 529,026.19

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Solution

The third proportional to 340,692.75 and 529,026.19 is: 821,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,692.75 : 529,026.19 = 529,026.19 : x
  2. Step 2: Convert to fraction form
    340,692.75/529,026.19 = 529,026.19/x
  3. Step 3: Cross multiply
    340,692.75x = 529,026.19 × 529,026.19
  4. Step 4: Simplify right side
    340,692.75x = 279,868,707,060.79
  5. Step 5: Solve for x
    x = 279,868,707,060.79/340,692.75
  6. Step 6: Final answer
    x = 821,469.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.