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Finding the Third Proportional to 241,887 and 503,385

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Solution

The third proportional to 241,887 and 503,385 is: 1,047,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,887 : 503,385 = 503,385 : x
  2. Step 2: Convert to fraction form
    241,887/503,385 = 503,385/x
  3. Step 3: Cross multiply
    241,887x = 503,385 × 503,385
  4. Step 4: Simplify right side
    241,887x = 253,396,458,225
  5. Step 5: Solve for x
    x = 253,396,458,225/241,887
  6. Step 6: Final answer
    x = 1,047,581.96

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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.