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Finding the Third Proportional to 335,893 and 520,065

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Solution

The third proportional to 335,893 and 520,065 is: 805,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,893 : 520,065 = 520,065 : x
  2. Step 2: Convert to fraction form
    335,893/520,065 = 520,065/x
  3. Step 3: Cross multiply
    335,893x = 520,065 × 520,065
  4. Step 4: Simplify right side
    335,893x = 270,467,604,225
  5. Step 5: Solve for x
    x = 270,467,604,225/335,893
  6. Step 6: Final answer
    x = 805,219.53

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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.