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Finding the Third Proportional to 242,706 and 504,780

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Solution

The third proportional to 242,706 and 504,780 is: 1,049,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,706 : 504,780 = 504,780 : x
  2. Step 2: Convert to fraction form
    242,706/504,780 = 504,780/x
  3. Step 3: Cross multiply
    242,706x = 504,780 × 504,780
  4. Step 4: Simplify right side
    242,706x = 254,802,848,400
  5. Step 5: Solve for x
    x = 254,802,848,400/242,706
  6. Step 6: Final answer
    x = 1,049,841.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.