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Finding the Third Proportional to 282,019 and 436,895

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Solution

The third proportional to 282,019 and 436,895 is: 676,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,019 : 436,895 = 436,895 : x
  2. Step 2: Convert to fraction form
    282,019/436,895 = 436,895/x
  3. Step 3: Cross multiply
    282,019x = 436,895 × 436,895
  4. Step 4: Simplify right side
    282,019x = 190,877,241,025
  5. Step 5: Solve for x
    x = 190,877,241,025/282,019
  6. Step 6: Final answer
    x = 676,824.05

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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.