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Finding the Third Proportional to 335,366 and 523,467

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Solution

The third proportional to 335,366 and 523,467 is: 817,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,366 : 523,467 = 523,467 : x
  2. Step 2: Convert to fraction form
    335,366/523,467 = 523,467/x
  3. Step 3: Cross multiply
    335,366x = 523,467 × 523,467
  4. Step 4: Simplify right side
    335,366x = 274,017,700,089
  5. Step 5: Solve for x
    x = 274,017,700,089/335,366
  6. Step 6: Final answer
    x = 817,070.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.