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Finding the Third Proportional to 335,718 and 520,596

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Solution

The third proportional to 335,718 and 520,596 is: 807,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,718 : 520,596 = 520,596 : x
  2. Step 2: Convert to fraction form
    335,718/520,596 = 520,596/x
  3. Step 3: Cross multiply
    335,718x = 520,596 × 520,596
  4. Step 4: Simplify right side
    335,718x = 271,020,195,216
  5. Step 5: Solve for x
    x = 271,020,195,216/335,718
  6. Step 6: Final answer
    x = 807,285.27

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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.