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Finding the Third Proportional to 282,016 and 436,890

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Solution

The third proportional to 282,016 and 436,890 is: 676,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,016 : 436,890 = 436,890 : x
  2. Step 2: Convert to fraction form
    282,016/436,890 = 436,890/x
  3. Step 3: Cross multiply
    282,016x = 436,890 × 436,890
  4. Step 4: Simplify right side
    282,016x = 190,872,872,100
  5. Step 5: Solve for x
    x = 190,872,872,100/282,016
  6. Step 6: Final answer
    x = 676,815.76

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