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Finding the Third Proportional to 274,006.25 and 429,945.38

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Solution

The third proportional to 274,006.25 and 429,945.38 is: 674,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,006.25 : 429,945.38 = 429,945.38 : x
  2. Step 2: Convert to fraction form
    274,006.25/429,945.38 = 429,945.38/x
  3. Step 3: Cross multiply
    274,006.25x = 429,945.38 × 429,945.38
  4. Step 4: Simplify right side
    274,006.25x = 184,853,025,483.89
  5. Step 5: Solve for x
    x = 184,853,025,483.89/274,006.25
  6. Step 6: Final answer
    x = 674,630.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.