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Finding the Third Proportional to 335,440 and 729,932

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Solution

The third proportional to 335,440 and 729,932 is: 1,588,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,440 : 729,932 = 729,932 : x
  2. Step 2: Convert to fraction form
    335,440/729,932 = 729,932/x
  3. Step 3: Cross multiply
    335,440x = 729,932 × 729,932
  4. Step 4: Simplify right side
    335,440x = 532,800,724,624
  5. Step 5: Solve for x
    x = 532,800,724,624/335,440
  6. Step 6: Final answer
    x = 1,588,363.72

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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.