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Finding the Third Proportional to 282,808.34 and 395,593.56

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Solution

The third proportional to 282,808.34 and 395,593.56 is: 553,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,808.34 : 395,593.56 = 395,593.56 : x
  2. Step 2: Convert to fraction form
    282,808.34/395,593.56 = 395,593.56/x
  3. Step 3: Cross multiply
    282,808.34x = 395,593.56 × 395,593.56
  4. Step 4: Simplify right side
    282,808.34x = 156,494,263,600.87
  5. Step 5: Solve for x
    x = 156,494,263,600.87/282,808.34
  6. Step 6: Final answer
    x = 553,358.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.