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Finding the Third Proportional to 334,611 and 729,501.19

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Solution

The third proportional to 334,611 and 729,501.19 is: 1,590,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,611 : 729,501.19 = 729,501.19 : x
  2. Step 2: Convert to fraction form
    334,611/729,501.19 = 729,501.19/x
  3. Step 3: Cross multiply
    334,611x = 729,501.19 × 729,501.19
  4. Step 4: Simplify right side
    334,611x = 532,171,982,563.91
  5. Step 5: Solve for x
    x = 532,171,982,563.91/334,611
  6. Step 6: Final answer
    x = 1,590,419.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.