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Finding the Third Proportional to 273,390.75 and 588,692.25

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Solution

The third proportional to 273,390.75 and 588,692.25 is: 1,267,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,390.75 : 588,692.25 = 588,692.25 : x
  2. Step 2: Convert to fraction form
    273,390.75/588,692.25 = 588,692.25/x
  3. Step 3: Cross multiply
    273,390.75x = 588,692.25 × 588,692.25
  4. Step 4: Simplify right side
    273,390.75x = 346,558,565,210.06
  5. Step 5: Solve for x
    x = 346,558,565,210.06/273,390.75
  6. Step 6: Final answer
    x = 1,267,630.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.