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Finding the Third Proportional to 236,457 and 503,586

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Solution

The third proportional to 236,457 and 503,586 is: 1,072,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,457 : 503,586 = 503,586 : x
  2. Step 2: Convert to fraction form
    236,457/503,586 = 503,586/x
  3. Step 3: Cross multiply
    236,457x = 503,586 × 503,586
  4. Step 4: Simplify right side
    236,457x = 253,598,859,396
  5. Step 5: Solve for x
    x = 253,598,859,396/236,457
  6. Step 6: Final answer
    x = 1,072,494.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.