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Finding the Third Proportional to 302,901.75 and 660,822.75

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Solution

The third proportional to 302,901.75 and 660,822.75 is: 1,441,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,901.75 : 660,822.75 = 660,822.75 : x
  2. Step 2: Convert to fraction form
    302,901.75/660,822.75 = 660,822.75/x
  3. Step 3: Cross multiply
    302,901.75x = 660,822.75 × 660,822.75
  4. Step 4: Simplify right side
    302,901.75x = 436,686,706,917.56
  5. Step 5: Solve for x
    x = 436,686,706,917.56/302,901.75
  6. Step 6: Final answer
    x = 1,441,677.73

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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.