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Finding the Third Proportional to 340,692.75 and 529,012.69

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Solution

The third proportional to 340,692.75 and 529,012.69 is: 821,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,692.75 : 529,012.69 = 529,012.69 : x
  2. Step 2: Convert to fraction form
    340,692.75/529,012.69 = 529,012.69/x
  3. Step 3: Cross multiply
    340,692.75x = 529,012.69 × 529,012.69
  4. Step 4: Simplify right side
    340,692.75x = 279,854,423,535.97
  5. Step 5: Solve for x
    x = 279,854,423,535.97/340,692.75
  6. Step 6: Final answer
    x = 821,427.59

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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.