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Finding the Third Proportional to 282,288 and 605,508

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Solution

The third proportional to 282,288 and 605,508 is: 1,298,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,288 : 605,508 = 605,508 : x
  2. Step 2: Convert to fraction form
    282,288/605,508 = 605,508/x
  3. Step 3: Cross multiply
    282,288x = 605,508 × 605,508
  4. Step 4: Simplify right side
    282,288x = 366,639,938,064
  5. Step 5: Solve for x
    x = 366,639,938,064/282,288
  6. Step 6: Final answer
    x = 1,298,815.17

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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.