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Finding the Third Proportional to 282,633 and 606,213

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Solution

The third proportional to 282,633 and 606,213 is: 1,300,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,633 : 606,213 = 606,213 : x
  2. Step 2: Convert to fraction form
    282,633/606,213 = 606,213/x
  3. Step 3: Cross multiply
    282,633x = 606,213 × 606,213
  4. Step 4: Simplify right side
    282,633x = 367,494,201,369
  5. Step 5: Solve for x
    x = 367,494,201,369/282,633
  6. Step 6: Final answer
    x = 1,300,252.28

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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.