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Finding the Third Proportional to 231,104 and 506,326

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Solution

The third proportional to 231,104 and 506,326 is: 1,109,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,104 : 506,326 = 506,326 : x
  2. Step 2: Convert to fraction form
    231,104/506,326 = 506,326/x
  3. Step 3: Cross multiply
    231,104x = 506,326 × 506,326
  4. Step 4: Simplify right side
    231,104x = 256,366,018,276
  5. Step 5: Solve for x
    x = 256,366,018,276/231,104
  6. Step 6: Final answer
    x = 1,109,310.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.