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Finding the Third Proportional to 334,219 and 721,705

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Solution

The third proportional to 334,219 and 721,705 is: 1,558,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,219 : 721,705 = 721,705 : x
  2. Step 2: Convert to fraction form
    334,219/721,705 = 721,705/x
  3. Step 3: Cross multiply
    334,219x = 721,705 × 721,705
  4. Step 4: Simplify right side
    334,219x = 520,858,107,025
  5. Step 5: Solve for x
    x = 520,858,107,025/334,219
  6. Step 6: Final answer
    x = 1,558,433.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.