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Finding the Third Proportional to 242,697 and 504,762

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Solution

The third proportional to 242,697 and 504,762 is: 1,049,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,697 : 504,762 = 504,762 : x
  2. Step 2: Convert to fraction form
    242,697/504,762 = 504,762/x
  3. Step 3: Cross multiply
    242,697x = 504,762 × 504,762
  4. Step 4: Simplify right side
    242,697x = 254,784,676,644
  5. Step 5: Solve for x
    x = 254,784,676,644/242,697
  6. Step 6: Final answer
    x = 1,049,805.63

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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.