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Finding the Third Proportional to 241,582 and 512,400

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Solution

The third proportional to 241,582 and 512,400 is: 1,086,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,582 : 512,400 = 512,400 : x
  2. Step 2: Convert to fraction form
    241,582/512,400 = 512,400/x
  3. Step 3: Cross multiply
    241,582x = 512,400 × 512,400
  4. Step 4: Simplify right side
    241,582x = 262,553,760,000
  5. Step 5: Solve for x
    x = 262,553,760,000/241,582
  6. Step 6: Final answer
    x = 1,086,810.11

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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.