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Finding the Third Proportional to 349,117 and 533,821

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Solution

The third proportional to 349,117 and 533,821 is: 816,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,117 : 533,821 = 533,821 : x
  2. Step 2: Convert to fraction form
    349,117/533,821 = 533,821/x
  3. Step 3: Cross multiply
    349,117x = 533,821 × 533,821
  4. Step 4: Simplify right side
    349,117x = 284,964,860,041
  5. Step 5: Solve for x
    x = 284,964,860,041/349,117
  6. Step 6: Final answer
    x = 816,244.58

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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.