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Finding the Third Proportional to 334,004 and 700,812

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Solution

The third proportional to 334,004 and 700,812 is: 1,470,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,004 : 700,812 = 700,812 : x
  2. Step 2: Convert to fraction form
    334,004/700,812 = 700,812/x
  3. Step 3: Cross multiply
    334,004x = 700,812 × 700,812
  4. Step 4: Simplify right side
    334,004x = 491,137,459,344
  5. Step 5: Solve for x
    x = 491,137,459,344/334,004
  6. Step 6: Final answer
    x = 1,470,453.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.