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Finding the Third Proportional to 236,496 and 503,664

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Solution

The third proportional to 236,496 and 503,664 is: 1,072,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,496 : 503,664 = 503,664 : x
  2. Step 2: Convert to fraction form
    236,496/503,664 = 503,664/x
  3. Step 3: Cross multiply
    236,496x = 503,664 × 503,664
  4. Step 4: Simplify right side
    236,496x = 253,677,424,896
  5. Step 5: Solve for x
    x = 253,677,424,896/236,496
  6. Step 6: Final answer
    x = 1,072,649.96

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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.