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Finding the Third Proportional to 335,808 and 469,472

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Solution

The third proportional to 335,808 and 469,472 is: 656,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,808 : 469,472 = 469,472 : x
  2. Step 2: Convert to fraction form
    335,808/469,472 = 469,472/x
  3. Step 3: Cross multiply
    335,808x = 469,472 × 469,472
  4. Step 4: Simplify right side
    335,808x = 220,403,958,784
  5. Step 5: Solve for x
    x = 220,403,958,784/335,808
  6. Step 6: Final answer
    x = 656,339.21

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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.