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Finding the Third Proportional to 282,896 and 616,288

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Solution

The third proportional to 282,896 and 616,288 is: 1,342,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,896 : 616,288 = 616,288 : x
  2. Step 2: Convert to fraction form
    282,896/616,288 = 616,288/x
  3. Step 3: Cross multiply
    282,896x = 616,288 × 616,288
  4. Step 4: Simplify right side
    282,896x = 379,810,898,944
  5. Step 5: Solve for x
    x = 379,810,898,944/282,896
  6. Step 6: Final answer
    x = 1,342,581.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.