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Finding the Third Proportional to 523,814 and 775,902

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Solution

The third proportional to 523,814 and 775,902 is: 1,149,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,814 : 775,902 = 775,902 : x
  2. Step 2: Convert to fraction form
    523,814/775,902 = 775,902/x
  3. Step 3: Cross multiply
    523,814x = 775,902 × 775,902
  4. Step 4: Simplify right side
    523,814x = 602,023,913,604
  5. Step 5: Solve for x
    x = 602,023,913,604/523,814
  6. Step 6: Final answer
    x = 1,149,308.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.