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Finding the Third Proportional to 282,636 and 606,219

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Solution

The third proportional to 282,636 and 606,219 is: 1,300,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,636 : 606,219 = 606,219 : x
  2. Step 2: Convert to fraction form
    282,636/606,219 = 606,219/x
  3. Step 3: Cross multiply
    282,636x = 606,219 × 606,219
  4. Step 4: Simplify right side
    282,636x = 367,501,475,961
  5. Step 5: Solve for x
    x = 367,501,475,961/282,636
  6. Step 6: Final answer
    x = 1,300,264.21

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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.