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Finding the Third Proportional to 236,968 and 504,624

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Solution

The third proportional to 236,968 and 504,624 is: 1,074,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,968 : 504,624 = 504,624 : x
  2. Step 2: Convert to fraction form
    236,968/504,624 = 504,624/x
  3. Step 3: Cross multiply
    236,968x = 504,624 × 504,624
  4. Step 4: Simplify right side
    236,968x = 254,645,381,376
  5. Step 5: Solve for x
    x = 254,645,381,376/236,968
  6. Step 6: Final answer
    x = 1,074,598.18

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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.