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Finding the Third Proportional to 261,039.50 and 415,367.75

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Solution

The third proportional to 261,039.50 and 415,367.75 is: 660,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,039.50 : 415,367.75 = 415,367.75 : x
  2. Step 2: Convert to fraction form
    261,039.50/415,367.75 = 415,367.75/x
  3. Step 3: Cross multiply
    261,039.50x = 415,367.75 × 415,367.75
  4. Step 4: Simplify right side
    261,039.50x = 172,530,367,740.06
  5. Step 5: Solve for x
    x = 172,530,367,740.06/261,039.50
  6. Step 6: Final answer
    x = 660,935.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.