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Finding the Third Proportional to 334,024 and 700,872

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Solution

The third proportional to 334,024 and 700,872 is: 1,470,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,024 : 700,872 = 700,872 : x
  2. Step 2: Convert to fraction form
    334,024/700,872 = 700,872/x
  3. Step 3: Cross multiply
    334,024x = 700,872 × 700,872
  4. Step 4: Simplify right side
    334,024x = 491,221,560,384
  5. Step 5: Solve for x
    x = 491,221,560,384/334,024
  6. Step 6: Final answer
    x = 1,470,617.56

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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.