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Finding the Third Proportional to 334,244 and 729,464

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Solution

The third proportional to 334,244 and 729,464 is: 1,592,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,244 : 729,464 = 729,464 : x
  2. Step 2: Convert to fraction form
    334,244/729,464 = 729,464/x
  3. Step 3: Cross multiply
    334,244x = 729,464 × 729,464
  4. Step 4: Simplify right side
    334,244x = 532,117,727,296
  5. Step 5: Solve for x
    x = 532,117,727,296/334,244
  6. Step 6: Final answer
    x = 1,592,003.83

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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.