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Finding the Third Proportional to 242,705 and 504,777

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Solution

The third proportional to 242,705 and 504,777 is: 1,049,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705 : 504,777 = 504,777 : x
  2. Step 2: Convert to fraction form
    242,705/504,777 = 504,777/x
  3. Step 3: Cross multiply
    242,705x = 504,777 × 504,777
  4. Step 4: Simplify right side
    242,705x = 254,799,819,729
  5. Step 5: Solve for x
    x = 254,799,819,729/242,705
  6. Step 6: Final answer
    x = 1,049,833.42

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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.