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Finding the Third Proportional to 335,977 and 520,217.50

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Solution

The third proportional to 335,977 and 520,217.50 is: 805,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,977 : 520,217.50 = 520,217.50 : x
  2. Step 2: Convert to fraction form
    335,977/520,217.50 = 520,217.50/x
  3. Step 3: Cross multiply
    335,977x = 520,217.50 × 520,217.50
  4. Step 4: Simplify right side
    335,977x = 270,626,247,306.25
  5. Step 5: Solve for x
    x = 270,626,247,306.25/335,977
  6. Step 6: Final answer
    x = 805,490.40

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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.