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Finding the Third Proportional to 334,023 and 700,866

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Solution

The third proportional to 334,023 and 700,866 is: 1,470,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,023 : 700,866 = 700,866 : x
  2. Step 2: Convert to fraction form
    334,023/700,866 = 700,866/x
  3. Step 3: Cross multiply
    334,023x = 700,866 × 700,866
  4. Step 4: Simplify right side
    334,023x = 491,213,149,956
  5. Step 5: Solve for x
    x = 491,213,149,956/334,023
  6. Step 6: Final answer
    x = 1,470,596.79

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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.