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Finding the Third Proportional to 335,880 and 520,047

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Solution

The third proportional to 335,880 and 520,047 is: 805,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,880 : 520,047 = 520,047 : x
  2. Step 2: Convert to fraction form
    335,880/520,047 = 520,047/x
  3. Step 3: Cross multiply
    335,880x = 520,047 × 520,047
  4. Step 4: Simplify right side
    335,880x = 270,448,882,209
  5. Step 5: Solve for x
    x = 270,448,882,209/335,880
  6. Step 6: Final answer
    x = 805,194.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.