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Finding the Third Proportional to 282,694 and 437,165

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Solution

The third proportional to 282,694 and 437,165 is: 676,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,694 : 437,165 = 437,165 : x
  2. Step 2: Convert to fraction form
    282,694/437,165 = 437,165/x
  3. Step 3: Cross multiply
    282,694x = 437,165 × 437,165
  4. Step 4: Simplify right side
    282,694x = 191,113,237,225
  5. Step 5: Solve for x
    x = 191,113,237,225/282,694
  6. Step 6: Final answer
    x = 676,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.