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Finding the Third Proportional to 334,312 and 729,606

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Solution

The third proportional to 334,312 and 729,606 is: 1,592,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,312 : 729,606 = 729,606 : x
  2. Step 2: Convert to fraction form
    334,312/729,606 = 729,606/x
  3. Step 3: Cross multiply
    334,312x = 729,606 × 729,606
  4. Step 4: Simplify right side
    334,312x = 532,324,915,236
  5. Step 5: Solve for x
    x = 532,324,915,236/334,312
  6. Step 6: Final answer
    x = 1,592,299.75

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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.