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Finding the Third Proportional to 282,781 and 606,040.50

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Solution

The third proportional to 282,781 and 606,040.50 is: 1,298,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,781 : 606,040.50 = 606,040.50 : x
  2. Step 2: Convert to fraction form
    282,781/606,040.50 = 606,040.50/x
  3. Step 3: Cross multiply
    282,781x = 606,040.50 × 606,040.50
  4. Step 4: Simplify right side
    282,781x = 367,285,087,640.25
  5. Step 5: Solve for x
    x = 367,285,087,640.25/282,781
  6. Step 6: Final answer
    x = 1,298,832.27

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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.