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Finding the Third Proportional to 501,246 and 775,797

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Solution

The third proportional to 501,246 and 775,797 is: 1,200,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,246 : 775,797 = 775,797 : x
  2. Step 2: Convert to fraction form
    501,246/775,797 = 775,797/x
  3. Step 3: Cross multiply
    501,246x = 775,797 × 775,797
  4. Step 4: Simplify right side
    501,246x = 601,860,985,209
  5. Step 5: Solve for x
    x = 601,860,985,209/501,246
  6. Step 6: Final answer
    x = 1,200,729.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.