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Finding the Third Proportional to 334,025 and 700,873

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Solution

The third proportional to 334,025 and 700,873 is: 1,470,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,025 : 700,873 = 700,873 : x
  2. Step 2: Convert to fraction form
    334,025/700,873 = 700,873/x
  3. Step 3: Cross multiply
    334,025x = 700,873 × 700,873
  4. Step 4: Simplify right side
    334,025x = 491,222,962,129
  5. Step 5: Solve for x
    x = 491,222,962,129/334,025
  6. Step 6: Final answer
    x = 1,470,617.36

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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.