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Finding the Third Proportional to 282,772.27 and 606,019.22

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Solution

The third proportional to 282,772.27 and 606,019.22 is: 1,298,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772.27 : 606,019.22 = 606,019.22 : x
  2. Step 2: Convert to fraction form
    282,772.27/606,019.22 = 606,019.22/x
  3. Step 3: Cross multiply
    282,772.27x = 606,019.22 × 606,019.22
  4. Step 4: Simplify right side
    282,772.27x = 367,259,293,494.36
  5. Step 5: Solve for x
    x = 367,259,293,494.36/282,772.27
  6. Step 6: Final answer
    x = 1,298,781.17

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