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Finding the Third Proportional to 302,047.50 and 650,380.50

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Solution

The third proportional to 302,047.50 and 650,380.50 is: 1,400,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,047.50 : 650,380.50 = 650,380.50 : x
  2. Step 2: Convert to fraction form
    302,047.50/650,380.50 = 650,380.50/x
  3. Step 3: Cross multiply
    302,047.50x = 650,380.50 × 650,380.50
  4. Step 4: Simplify right side
    302,047.50x = 422,994,794,780.25
  5. Step 5: Solve for x
    x = 422,994,794,780.25/302,047.50
  6. Step 6: Final answer
    x = 1,400,424.75

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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.