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Finding the Third Proportional to 241,719.05 and 512,252.86

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Solution

The third proportional to 241,719.05 and 512,252.86 is: 1,085,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,719.05 : 512,252.86 = 512,252.86 : x
  2. Step 2: Convert to fraction form
    241,719.05/512,252.86 = 512,252.86/x
  3. Step 3: Cross multiply
    241,719.05x = 512,252.86 × 512,252.86
  4. Step 4: Simplify right side
    241,719.05x = 262,402,991,937.86
  5. Step 5: Solve for x
    x = 262,402,991,937.86/241,719.05
  6. Step 6: Final answer
    x = 1,085,570.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.