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Finding the Third Proportional to 282,046.50 and 436,917

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Solution

The third proportional to 282,046.50 and 436,917 is: 676,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,046.50 : 436,917 = 436,917 : x
  2. Step 2: Convert to fraction form
    282,046.50/436,917 = 436,917/x
  3. Step 3: Cross multiply
    282,046.50x = 436,917 × 436,917
  4. Step 4: Simplify right side
    282,046.50x = 190,896,464,889
  5. Step 5: Solve for x
    x = 190,896,464,889/282,046.50
  6. Step 6: Final answer
    x = 676,826.21

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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.