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Finding the Third Proportional to 274,946.91 and 601,561.69

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Solution

The third proportional to 274,946.91 and 601,561.69 is: 1,316,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,946.91 : 601,561.69 = 601,561.69 : x
  2. Step 2: Convert to fraction form
    274,946.91/601,561.69 = 601,561.69/x
  3. Step 3: Cross multiply
    274,946.91x = 601,561.69 × 601,561.69
  4. Step 4: Simplify right side
    274,946.91x = 361,876,463,867.85
  5. Step 5: Solve for x
    x = 361,876,463,867.85/274,946.91
  6. Step 6: Final answer
    x = 1,316,168.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.