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Finding the Third Proportional to 282,772.13 and 606,022.31

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Solution

The third proportional to 282,772.13 and 606,022.31 is: 1,298,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772.13 : 606,022.31 = 606,022.31 : x
  2. Step 2: Convert to fraction form
    282,772.13/606,022.31 = 606,022.31/x
  3. Step 3: Cross multiply
    282,772.13x = 606,022.31 × 606,022.31
  4. Step 4: Simplify right side
    282,772.13x = 367,263,043,247.85
  5. Step 5: Solve for x
    x = 367,263,043,247.85/282,772.13
  6. Step 6: Final answer
    x = 1,298,795.07

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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.