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Finding the Third Proportional to 341,692.50 and 525,917.25

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Solution

The third proportional to 341,692.50 and 525,917.25 is: 809,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,692.50 : 525,917.25 = 525,917.25 : x
  2. Step 2: Convert to fraction form
    341,692.50/525,917.25 = 525,917.25/x
  3. Step 3: Cross multiply
    341,692.50x = 525,917.25 × 525,917.25
  4. Step 4: Simplify right side
    341,692.50x = 276,588,953,847.56
  5. Step 5: Solve for x
    x = 276,588,953,847.56/341,692.50
  6. Step 6: Final answer
    x = 809,467.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.