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Finding the Third Proportional to 277,543.69 and 415,194.19

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Solution

The third proportional to 277,543.69 and 415,194.19 is: 621,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,543.69 : 415,194.19 = 415,194.19 : x
  2. Step 2: Convert to fraction form
    277,543.69/415,194.19 = 415,194.19/x
  3. Step 3: Cross multiply
    277,543.69x = 415,194.19 × 415,194.19
  4. Step 4: Simplify right side
    277,543.69x = 172,386,213,333.79
  5. Step 5: Solve for x
    x = 172,386,213,333.79/277,543.69
  6. Step 6: Final answer
    x = 621,113.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.