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Finding the Third Proportional to 297,877.50 and 416,684.25

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Solution

The third proportional to 297,877.50 and 416,684.25 is: 582,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,877.50 : 416,684.25 = 416,684.25 : x
  2. Step 2: Convert to fraction form
    297,877.50/416,684.25 = 416,684.25/x
  3. Step 3: Cross multiply
    297,877.50x = 416,684.25 × 416,684.25
  4. Step 4: Simplify right side
    297,877.50x = 173,625,764,198.06
  5. Step 5: Solve for x
    x = 173,625,764,198.06/297,877.50
  6. Step 6: Final answer
    x = 582,876.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.