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Finding the Third Proportional to 504,168 and 756,252

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Solution

The third proportional to 504,168 and 756,252 is: 1,134,378

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,168 : 756,252 = 756,252 : x
  2. Step 2: Convert to fraction form
    504,168/756,252 = 756,252/x
  3. Step 3: Cross multiply
    504,168x = 756,252 × 756,252
  4. Step 4: Simplify right side
    504,168x = 571,917,087,504
  5. Step 5: Solve for x
    x = 571,917,087,504/504,168
  6. Step 6: Final answer
    x = 1,134,378

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.