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Finding the Third Proportional to 270,372.94 and 575,692.31

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Solution

The third proportional to 270,372.94 and 575,692.31 is: 1,225,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,372.94 : 575,692.31 = 575,692.31 : x
  2. Step 2: Convert to fraction form
    270,372.94/575,692.31 = 575,692.31/x
  3. Step 3: Cross multiply
    270,372.94x = 575,692.31 × 575,692.31
  4. Step 4: Simplify right side
    270,372.94x = 331,421,638,671.60
  5. Step 5: Solve for x
    x = 331,421,638,671.60/270,372.94
  6. Step 6: Final answer
    x = 1,225,794.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.