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Finding the Third Proportional to 335,840 and 469,584

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Solution

The third proportional to 335,840 and 469,584 is: 656,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,840 : 469,584 = 469,584 : x
  2. Step 2: Convert to fraction form
    335,840/469,584 = 469,584/x
  3. Step 3: Cross multiply
    335,840x = 469,584 × 469,584
  4. Step 4: Simplify right side
    335,840x = 220,509,133,056
  5. Step 5: Solve for x
    x = 220,509,133,056/335,840
  6. Step 6: Final answer
    x = 656,589.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.