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Finding the Third Proportional to 262,723.50 and 416,077.50

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Solution

The third proportional to 262,723.50 and 416,077.50 is: 658,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,723.50 : 416,077.50 = 416,077.50 : x
  2. Step 2: Convert to fraction form
    262,723.50/416,077.50 = 416,077.50/x
  3. Step 3: Cross multiply
    262,723.50x = 416,077.50 × 416,077.50
  4. Step 4: Simplify right side
    262,723.50x = 173,120,486,006.25
  5. Step 5: Solve for x
    x = 173,120,486,006.25/262,723.50
  6. Step 6: Final answer
    x = 658,945.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.