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Finding the Third Proportional to 241,731 and 512,276.06

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Solution

The third proportional to 241,731 and 512,276.06 is: 1,085,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,731 : 512,276.06 = 512,276.06 : x
  2. Step 2: Convert to fraction form
    241,731/512,276.06 = 512,276.06/x
  3. Step 3: Cross multiply
    241,731x = 512,276.06 × 512,276.06
  4. Step 4: Simplify right side
    241,731x = 262,426,764,210.50
  5. Step 5: Solve for x
    x = 262,426,764,210.50/241,731
  6. Step 6: Final answer
    x = 1,085,614.85

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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.