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Finding the Third Proportional to 349,132 and 533,851

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Solution

The third proportional to 349,132 and 533,851 is: 816,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,132 : 533,851 = 533,851 : x
  2. Step 2: Convert to fraction form
    349,132/533,851 = 533,851/x
  3. Step 3: Cross multiply
    349,132x = 533,851 × 533,851
  4. Step 4: Simplify right side
    349,132x = 284,996,890,201
  5. Step 5: Solve for x
    x = 284,996,890,201/349,132
  6. Step 6: Final answer
    x = 816,301.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.