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Finding the Third Proportional to 282,633.42 and 606,295.71

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Solution

The third proportional to 282,633.42 and 606,295.71 is: 1,300,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,633.42 : 606,295.71 = 606,295.71 : x
  2. Step 2: Convert to fraction form
    282,633.42/606,295.71 = 606,295.71/x
  3. Step 3: Cross multiply
    282,633.42x = 606,295.71 × 606,295.71
  4. Step 4: Simplify right side
    282,633.42x = 367,594,489,101.21
  5. Step 5: Solve for x
    x = 367,594,489,101.21/282,633.42
  6. Step 6: Final answer
    x = 1,300,605.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.