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Finding the Third Proportional to 302,871.75 and 660,757.50

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Solution

The third proportional to 302,871.75 and 660,757.50 is: 1,441,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871.75 : 660,757.50 = 660,757.50 : x
  2. Step 2: Convert to fraction form
    302,871.75/660,757.50 = 660,757.50/x
  3. Step 3: Cross multiply
    302,871.75x = 660,757.50 × 660,757.50
  4. Step 4: Simplify right side
    302,871.75x = 436,600,473,806.25
  5. Step 5: Solve for x
    x = 436,600,473,806.25/302,871.75
  6. Step 6: Final answer
    x = 1,441,535.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.