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Finding the Third Proportional to 409,999.50 and 900,711

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Solution

The third proportional to 409,999.50 and 900,711 is: 1,978,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,999.50 : 900,711 = 900,711 : x
  2. Step 2: Convert to fraction form
    409,999.50/900,711 = 900,711/x
  3. Step 3: Cross multiply
    409,999.50x = 900,711 × 900,711
  4. Step 4: Simplify right side
    409,999.50x = 811,280,305,521
  5. Step 5: Solve for x
    x = 811,280,305,521/409,999.50
  6. Step 6: Final answer
    x = 1,978,734.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.