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Finding the Third Proportional to 334,325 and 729,582

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Solution

The third proportional to 334,325 and 729,582 is: 1,592,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,325 : 729,582 = 729,582 : x
  2. Step 2: Convert to fraction form
    334,325/729,582 = 729,582/x
  3. Step 3: Cross multiply
    334,325x = 729,582 × 729,582
  4. Step 4: Simplify right side
    334,325x = 532,289,894,724
  5. Step 5: Solve for x
    x = 532,289,894,724/334,325
  6. Step 6: Final answer
    x = 1,592,133.09

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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.