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Finding the Third Proportional to 241,857 and 503,565

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Solution

The third proportional to 241,857 and 503,565 is: 1,048,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,857 : 503,565 = 503,565 : x
  2. Step 2: Convert to fraction form
    241,857/503,565 = 503,565/x
  3. Step 3: Cross multiply
    241,857x = 503,565 × 503,565
  4. Step 4: Simplify right side
    241,857x = 253,577,709,225
  5. Step 5: Solve for x
    x = 253,577,709,225/241,857
  6. Step 6: Final answer
    x = 1,048,461.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.