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Finding the Third Proportional to 409,293 and 835,231.50

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Solution

The third proportional to 409,293 and 835,231.50 is: 1,704,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,293 : 835,231.50 = 835,231.50 : x
  2. Step 2: Convert to fraction form
    409,293/835,231.50 = 835,231.50/x
  3. Step 3: Cross multiply
    409,293x = 835,231.50 × 835,231.50
  4. Step 4: Simplify right side
    409,293x = 697,611,658,592.25
  5. Step 5: Solve for x
    x = 697,611,658,592.25/409,293
  6. Step 6: Final answer
    x = 1,704,430.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.