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Finding the Third Proportional to 335,164 and 729,432

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Solution

The third proportional to 335,164 and 729,432 is: 1,587,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,164 : 729,432 = 729,432 : x
  2. Step 2: Convert to fraction form
    335,164/729,432 = 729,432/x
  3. Step 3: Cross multiply
    335,164x = 729,432 × 729,432
  4. Step 4: Simplify right side
    335,164x = 532,071,042,624
  5. Step 5: Solve for x
    x = 532,071,042,624/335,164
  6. Step 6: Final answer
    x = 1,587,494.61

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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.