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Finding the Third Proportional to 241,812 and 343,818

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Solution

The third proportional to 241,812 and 343,818 is: 488,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,812 : 343,818 = 343,818 : x
  2. Step 2: Convert to fraction form
    241,812/343,818 = 343,818/x
  3. Step 3: Cross multiply
    241,812x = 343,818 × 343,818
  4. Step 4: Simplify right side
    241,812x = 118,210,817,124
  5. Step 5: Solve for x
    x = 118,210,817,124/241,812
  6. Step 6: Final answer
    x = 488,854.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.