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Finding the Third Proportional to 282,764.67 and 606,005.30

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Solution

The third proportional to 282,764.67 and 606,005.30 is: 1,298,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,764.67 : 606,005.30 = 606,005.30 : x
  2. Step 2: Convert to fraction form
    282,764.67/606,005.30 = 606,005.30/x
  3. Step 3: Cross multiply
    282,764.67x = 606,005.30 × 606,005.30
  4. Step 4: Simplify right side
    282,764.67x = 367,242,419,840.56
  5. Step 5: Solve for x
    x = 367,242,419,840.56/282,764.67
  6. Step 6: Final answer
    x = 1,298,756.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.