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Finding the Third Proportional to 409,401 and 586,234.13

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Solution

The third proportional to 409,401 and 586,234.13 is: 839,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,401 : 586,234.13 = 586,234.13 : x
  2. Step 2: Convert to fraction form
    409,401/586,234.13 = 586,234.13/x
  3. Step 3: Cross multiply
    409,401x = 586,234.13 × 586,234.13
  4. Step 4: Simplify right side
    409,401x = 343,670,449,314.52
  5. Step 5: Solve for x
    x = 343,670,449,314.52/409,401
  6. Step 6: Final answer
    x = 839,447.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.